Maths-
General
Easy

Question

The equation cos invisible function application x plus sin invisible function application x equals 2 has

  1. Only one solution  
  2. Two solutions  
  3. No solution  
  4. Infinite number of solutions  

The correct answer is: No solution


    This is possible only when sin invisible function application x equals cos invisible function application x equals 1 comma blankwhich does not hold simultaneously
    Hence, there is no solution

    Related Questions to study

    General
    Physics-

    In a uniform magnetic field of inductionB, a wire in the form of semicircle of radiusblank r rotates about the diameter of the circle with angular frequencyblank omega. If the total resistance of the circuit is R, the mean power generated per period of rotation is

    In a uniform magnetic field of inductionB, a wire in the form of semicircle of radiusblank r rotates about the diameter of the circle with angular frequencyblank omega. If the total resistance of the circuit is R, the mean power generated per period of rotation is

    Physics-General
    General
    Physics-

    A generator at a utility company produces 100 A of current at 4000 V. The voltage is stepped up to 240000 V by a transformer before it is sent on a high voltage transmission line. The current in transmission line is

    A generator at a utility company produces 100 A of current at 4000 V. The voltage is stepped up to 240000 V by a transformer before it is sent on a high voltage transmission line. The current in transmission line is

    Physics-General
    General
    Physics-

    A coil self inductance L = 0.04 H and resistance R = 12blank capital omega, connected to 220 V, 50Hz supply, what will be the current flow in the coil?

    A coil self inductance L = 0.04 H and resistance R = 12blank capital omega, connected to 220 V, 50Hz supply, what will be the current flow in the coil?

    Physics-General
    parallel
    General
    Physics-

    A helicopter rises vertically with a speed of 100 ms-1. If helicopter has length 10 m and horizontal component of earth’s magnetic field is 5 cross times 10 to the power of negative 3 end exponent W b m to the power of negative 2 end exponent commathen the induced emf between the tip of nose and tail of helicopter is

    A helicopter rises vertically with a speed of 100 ms-1. If helicopter has length 10 m and horizontal component of earth’s magnetic field is 5 cross times 10 to the power of negative 3 end exponent W b m to the power of negative 2 end exponent commathen the induced emf between the tip of nose and tail of helicopter is

    Physics-General
    General
    Maths-

    I f cos invisible function application 2 B equals fraction numerator cos invisible function application open parentheses A plus C close parentheses over denominator cos invisible function application open parentheses A minus C close parentheses end fraction comma blank t h e n tan invisible function application A comma tan invisible function application B comma tan invisible function application C blank a r e blank i n

    I f cos invisible function application 2 B equals fraction numerator cos invisible function application open parentheses A plus C close parentheses over denominator cos invisible function application open parentheses A minus C close parentheses end fraction comma blank t h e n tan invisible function application A comma tan invisible function application B comma tan invisible function application C blank a r e blank i n

    Maths-General
    General
    Physics-

    When the speed of a dc motor increases the armature current

    When the speed of a dc motor increases the armature current

    Physics-General
    parallel
    General
    Physics-

    A current carrying solenoid is approaching a conducting loop as shown in the figure. The direction of induced current as observed by an observer on the other side of the loop will be

    A current carrying solenoid is approaching a conducting loop as shown in the figure. The direction of induced current as observed by an observer on the other side of the loop will be
    Physics-General

    General
    Maths-

    The general solution of the equation sin invisible function application x minus 3 sin invisible function application 2 x plus sin invisible function application 3 x equals cos invisible function application x minus 3 cos invisible function application 2 x plus cos invisible function application 3 x is left parenthesis n element of Z right parenthesis

    The general solution of the equation sin invisible function application x minus 3 sin invisible function application 2 x plus sin invisible function application 3 x equals cos invisible function application x minus 3 cos invisible function application 2 x plus cos invisible function application 3 x is left parenthesis n element of Z right parenthesis

    Maths-General
    General
    Physics-

    A step up transformer connected to a 220 blank V blank A C line is to supply 22 blank k V a neon sign in secondary circuit. In primary circuit a fuse wire is connected which is to blow when the current in the secondary circuit exceeds 10 blank m A. The turn ratio of the transformer is

    A step up transformer connected to a 220 blank V blank A C line is to supply 22 blank k V a neon sign in secondary circuit. In primary circuit a fuse wire is connected which is to blow when the current in the secondary circuit exceeds 10 blank m A. The turn ratio of the transformer is

    Physics-General
    parallel
    General
    Physics-

    A short solenoid of length 4 cm, radius 2 cm and 100 turns is placed inside and on the axis of a long solenoid of length 80 cm and 1500 turns. A current of 3 A flows through the short solenoid. The mutual inductance of two solenoids is

    A short solenoid of length 4 cm, radius 2 cm and 100 turns is placed inside and on the axis of a long solenoid of length 80 cm and 1500 turns. A current of 3 A flows through the short solenoid. The mutual inductance of two solenoids is

    Physics-General
    General
    Physics-

    The number of turns in primary coil of a transformer is 20 and the number of turns in the secondary is 10. If the voltage across the primary is 220 V, what is the voltage across the secondary?

    The number of turns in primary coil of a transformer is 20 and the number of turns in the secondary is 10. If the voltage across the primary is 220 V, what is the voltage across the secondary?

    Physics-General
    General
    Maths-

    I f tan invisible function application fraction numerator pi over denominator 9 end fraction comma blank x blank a n d tan invisible function application fraction numerator 5 pi over denominator 18 end fraction are in A.P. and tan invisible function application fraction numerator pi over denominator 9 end fraction comma blank y blank a n d tan invisible function application fraction numerator 7 pi over denominator 18 end fraction are also in A.P., then

    I f tan invisible function application fraction numerator pi over denominator 9 end fraction comma blank x blank a n d tan invisible function application fraction numerator 5 pi over denominator 18 end fraction are in A.P. and tan invisible function application fraction numerator pi over denominator 9 end fraction comma blank y blank a n d tan invisible function application fraction numerator 7 pi over denominator 18 end fraction are also in A.P., then

    Maths-General
    parallel
    General
    Maths-

    Sum of all the solutions in open square brackets 0 comma blank 4 pi close square brackets of the equation tan invisible function application x plus cot invisible function application x plus 1 equals cos invisible function application open parentheses x plus fraction numerator pi over denominator 4 end fraction close parentheses is

    Sum of all the solutions in open square brackets 0 comma blank 4 pi close square brackets of the equation tan invisible function application x plus cot invisible function application x plus 1 equals cos invisible function application open parentheses x plus fraction numerator pi over denominator 4 end fraction close parentheses is

    Maths-General
    General
    Maths-

    Ifblank open parentheses 1 minus tan invisible function application theta close parentheses open parentheses 1 plus tan invisible function application theta close parentheses sec to the power of 2 end exponent invisible function application theta plus 2 to the power of tan to the power of 2 end exponent invisible function application theta end exponent equals 0 comma then the number of values of theta in the interval left parenthesis negative pi divided by 2 comma blank pi divided by 2 right parenthesis are

    Ifblank open parentheses 1 minus tan invisible function application theta close parentheses open parentheses 1 plus tan invisible function application theta close parentheses sec to the power of 2 end exponent invisible function application theta plus 2 to the power of tan to the power of 2 end exponent invisible function application theta end exponent equals 0 comma then the number of values of theta in the interval left parenthesis negative pi divided by 2 comma blank pi divided by 2 right parenthesis are

    Maths-General
    General
    Maths-

    If open vertical bar 2 sin invisible function application theta minus c o s e c blank theta close vertical bar greater or equal than 1 and theta not equal to fraction numerator n pi over denominator 2 end fraction comma blank n element of I, then

    If open vertical bar 2 sin invisible function application theta minus c o s e c blank theta close vertical bar greater or equal than 1 and theta not equal to fraction numerator n pi over denominator 2 end fraction comma blank n element of I, then

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.