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If sinx+cosecx=2," then "sin^nx+cosec^nx...

If `sinx+cosecx=2," then "sin^nx+cosec^nx` is equal to

A

2

B

`2^n`

C

`2^(n-1)`

D

`2^(n-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`sinx+cosecx=2`
`or (sinx-1)^2=0`
`or sinx=1`
`rArr sin^nx+cosec^nx=1+1=2`
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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS -Exercises
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  2. If tantheta =-4/3," then " sintheta is

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  3. If sinx+cosecx=2," then "sin^nx+cosec^nx is equal to

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  4. If tantheta+sintheta=mandtantheta-sintheta=n,then

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  5. If cosectheta-cottheta=q, then the value of cosectheta is

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  9. If secalpha and cosecalpha are the roots of the equation x^2-px+q=0, t...

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  10. Which of the following is not the quadratic equation whose roots are c...

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  12. 3(sintheta-costheta)^(4)+6(sintheta+costheta)^(2)+4(sin^(6)theta+cos^(...

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  19. Which of the following is correct?

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