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Maths-

General

Easy

Question

The value of k, for which $left parenthesis cos invisible function application x plus sin invisible function application x right parenthesis to the power of 2 end exponent plus k sin invisible function application x cos invisible function application x minus 1 equals 0$ is an identity, is

–1
–2
0
1

The correct answer is: –2

Given, $left parenthesis cos invisible function application x plus sin invisible function application x right parenthesis to the power of 2 end exponent plus k sin invisible function application x cos invisible function application x minus 1 equals 0 comma for all x$
Þ $cos to the power of 2 end exponent invisible function application x plus sin to the power of 2 end exponent invisible function application x plus 2 cos invisible function application x sin invisible function application x plus k sin invisible function application x cos invisible function application x minus 1 equals 0 comma for all x$
Þ $left parenthesis k plus 2 right parenthesis cos invisible function application x sin invisible function application x equals 0 comma for all x$ Þ $k plus 2 equals 0$ Þ $k equals negative 2$

Related Questions to study

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If $A plus B plus C equals 27 0 to the power of o end exponent comma$ then $cos invisible function application 2 A plus cos invisible function application 2 B plus cos invisible function application 2 C plus 4 space sin invisible function application A space sin invisible function application B space sin invisible function application C equals$

Which one of the following is not true

Which one of the following is not true

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parallel

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If $A equals d i g left parenthesis 2 comma negative 1 , 3 right parenthesis comma B equals d i g left parenthesis negative 1 , 3 comma 2 right parenthesis$ , then $A to the power of 2 end exponent B equals$

If $A equals d i g left parenthesis 2 comma negative 1 , 3 right parenthesis comma B equals d i g left parenthesis negative 1 , 3 comma 2 right parenthesis$ , then $A to the power of 2 end exponent B equals$

parallel

Which of the following relations is incorrect

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If $A equals open square brackets table row 0 1 row 0 0 end table close square brackets$ and $A B equals O$ , then B =

If $A equals open square brackets table row cell 1 divided by 3 end cell 2 row 0 cell 2 x minus 3 end cell end table close square brackets comma B equals open square brackets table row 3 6 row 0 cell negative 1 end cell end table close square brackets$ and $A B equals I$ , then x =

If $A equals open square brackets table row cell 1 divided by 3 end cell 2 row 0 cell 2 x minus 3 end cell end table close square brackets comma B equals open square brackets table row 3 6 row 0 cell negative 1 end cell end table close square brackets$ and $A B equals I$ , then x =

parallel

If $A equals open square brackets table row 1 0 1 row 0 1 1 row 1 0 0 end table close square brackets$ , then A is

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parallel

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parallel

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