Maths-
General
Easy
Question
If
, and the period of
is
, then n is equal to
- 4
- 3
- 2
- 1
The correct answer is: 2
Since, period of ![cos invisible function application n x equals fraction numerator 2 pi over denominator n end fraction](data:image/png;base64,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)
And period of ![sin invisible function application open parentheses x over n close parentheses equals 2 n pi](data:image/png;base64,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)
Period of
is ![2 n pi](data:image/png;base64,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)
![not stretchy rightwards double arrow 2 n pi equals 4 pi not stretchy rightwards double arrow n equals 2](data:image/png;base64,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)
Related Questions to study
maths-
Domain of definition of the function ![f left parenthesis x right parenthesis equals fraction numerator 3 over denominator 4 minus x squared end fraction plus log subscript 10 invisible function application open parentheses x cubed minus x close parentheses comma text is end text](data:image/png;base64,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)
Domain of definition of the function ![f left parenthesis x right parenthesis equals fraction numerator 3 over denominator 4 minus x squared end fraction plus log subscript 10 invisible function application open parentheses x cubed minus x close parentheses comma text is end text](data:image/png;base64,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)
maths-General
maths-
maths-General
maths-
Range of the function ![f left parenthesis x right parenthesis equals fraction numerator x squared plus x plus 2 over denominator x squared plus x plus 1 end fraction semicolon x element of R text is end text](data:image/png;base64,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)
Range of the function ![f left parenthesis x right parenthesis equals fraction numerator x squared plus x plus 2 over denominator x squared plus x plus 1 end fraction semicolon x element of R text is end text](data:image/png;base64,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)
maths-General
maths-
Range of the function ![f left parenthesis x right parenthesis equals fraction numerator x squared plus x plus 2 over denominator x squared plus x plus 1 end fraction semicolon x element of R text is end text](data:image/png;base64,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)
Range of the function ![f left parenthesis x right parenthesis equals fraction numerator x squared plus x plus 2 over denominator x squared plus x plus 1 end fraction semicolon x element of R text is end text](data:image/png;base64,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)
maths-General
maths-
The domain of ![sin to the power of negative 1 end exponent invisible function application open parentheses log subscript 3 invisible function application x close parentheses text is end text](data:image/png;base64,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)
The domain of ![sin to the power of negative 1 end exponent invisible function application open parentheses log subscript 3 invisible function application x close parentheses text is end text](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHcAAAAVCAYAAAB8BXHbAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAttJREFUeNrtWj1IHEEUXq6wCEEQkeMIIqSQI4hNkCAiIogECWKTIsgVi2BtmyKkCIEgYhFCGgsLEUFExCIEgoiIhXBIEAlpQkiRKpDCQo4lsHkD3+HdODM7Mzt7zp37wYc34+zOvPfNz3tzFwT+YZD4ivg1yNFx2CAuEuOEdh+J821oX4X44a6LHCcIW2lj2yqwIReXwzPidgfYtwNbvF9JOs/KaNofO4vLjsd3GyhrxhWx7+K66m+EeOTJ+FzgCDb55PdbE5dF0S87yAnMltdZd/KQeEi8UmyXsaT8nPiDWMNM7M9Q3F3ijEF7dqZ9I0b4Oyt5dpRYhQ3MltBysiwQ3wnq3+B/PGZgk4kfdLRqQlVhuEpcJuwycQB1oWLbTHM+1/GTWNQc3xMINYTyEMqjgrOP1Y83OG8zxU5wxo0xVKQ+Jdhk4ncdrZrAZkGPhbiTXF0BqyQrXKEPnfGJolFW3uPq1pFXu9rmnxJX8XmKeKBoW4BNJn7X0aoJc8QT4gtDcVt99plE15fELq6uC/WN+CNxVho7vhAnEA33JrSNDG3W0eoG7hPXcDYNdoC4saYzs7BjCf0Ma7SNLGxO0koZwZ15Kq7Jtqy7cmXvjCWxQIQVOS0ZxxiOhFWN1WWzLetopeww8lRck4BqRxB4zAmi08+CIKsnwQ4WhP2SZB37xHtYXdWEbbloEVClinEWEGr7KK5JKjSCKPgRysMojwnSkWM4uoCA6BRpkcqpf7m6PuInTkwWwG0o3mOTCuloJdxy/mGAJU/FNb3EYM79jtl9gZUrc9JvtDvFxLiUtO1FahNy2z0T6YGg/RYmjO0lRmyhVVviMVZZ1ihKUpi6Y119I3UMm3I0XBKUHb9zP7i+4y2hHEradhPfSnJjE+h+cXCnMAXnuwS7aTsPrq8flzSeqTmYUJO5nDex4mDlpME4ImFbLMKGHBK8D1r7a4z6eVtD+jRg+Z6W/czmP2Tb6AkhY0YWAAABG3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3VwPjxtaT5zaW48L21pPjxtcm93Pjxtbz4mI3gyMjEyOzwvbW8+PG1uPjE8L21uPjwvbXJvdz48L21zdXA+PG1vPiYjeDIwNjE7PC9tbz48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bXN1Yj48bWk+bG9nPC9taT48bW4+MzwvbW4+PC9tc3ViPjxtbz4mI3gyMDYxOzwvbW8+PG1pPng8L21pPjwvbXJvdz48L21mZW5jZWQ+PG10ZXh0PiYjeEEwO2lzJiN4QTA7PC9tdGV4dD48L21hdGg+3mNYWwAAAABJRU5ErkJggg==)
maths-General
maths-
The domain of the function ![f left parenthesis x right parenthesis equals log subscript 3 plus x end subscript invisible function application open parentheses x squared minus 1 close parentheses text is end text](data:image/png;base64,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)
The domain of the function ![f left parenthesis x right parenthesis equals log subscript 3 plus x end subscript invisible function application open parentheses x squared minus 1 close parentheses text is end text](data:image/png;base64,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)
maths-General
Maths-
If
, then
is
Differentiation is the process of determining a function's derivative. The derivative is the rate at which x changes in relation to y when x and y are two variables. A constant function has zero derivatives. For instance, f'(x) = 0 if f(x) = 8. So the derivative function is odd.
If
, then
is
Maths-General
Differentiation is the process of determining a function's derivative. The derivative is the rate at which x changes in relation to y when x and y are two variables. A constant function has zero derivatives. For instance, f'(x) = 0 if f(x) = 8. So the derivative function is odd.
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The domain of the function
is
The domain of the function
is
maths-General
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maths-General
maths-
The domain of the function
is
The domain of the function
is
maths-General
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The value of
is
The value of
is
maths-General
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is equal to
is equal to
maths-General
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If
, then the value of
depends on
If
, then the value of
depends on
maths-General
maths-
then is equal to
then is equal to
maths-General
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Number of solutions of the equation
is
Number of solutions of the equation
is
maths-General