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If sin x+cosec x=2 then sin^n x +cosec^n...

If `sin x+cosec x=2` then `sin^n x +cosec^n x=?`

A

2

B

`2 ^(n)`

C

`2^(n-1)`

D

`2 ^(n-1)`

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -CRITICAL THINKING
  1. If tantheta = p/q then the value of (p sintheta-q costheta)/(p sinthet...

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  2. The value of cos ^(2) theta + sec ^(2) theta is always

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  3. If sin x+cosec x=2 then sin^n x +cosec^n x=?

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  4. Which of the following relations is correct ?

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  5. Which of the following is correct ?

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  6. If cos A =(sqrt3)/(2), then tan 3A=

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  7. If tan(A-B)=1,sec(A+B)=2/(sqrt(3)) , then the smallest positive value ...

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  8. If sin (A + B + C) = 1, tan (A - B) = 1//sqrt(3) and "sec" (A + C) = 2...

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  9. If cos A =3/5, cos B=4/5 and (-pi)/(2) lt A lt 0,(-pi)/(2) lt B lt 0, ...

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  10. If tan theta + sectheta=sqrt3,0 < theta < pi, then theta is equal to

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  11. If pi/2 lt theta lt (3pi)/2 , then sqrt((1-sin theta)/(1+sin theta)) ...

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  12. If pi/2<theta<pi, then sqrt((1-s intheta)/(1+s intheta))+sqrt((1+s int...

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  13. If pi<alpha<(3pi)/2,t h e nsqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cos...

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  14. If A lies in second quadrant and 3tanA+4=0, then the value of 2cotA-5c...

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  15. If sec theta - tan theta = 1/2, then theta lies in the

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  16. If cos theta + sin theta = sqrt2 cos theta " then" cos theta - sin th...

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  17. If sinx+cosx=a then |sinx-cosx|=

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  18. If 3 sin theta + 4 cos theta=5, then find the value of 4 sin theta-3 c...

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  19. If u(n) = sin ^(n) theta + cos ^(n) theta, then 2 u(6) -3 u(4) is equ...

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  20. If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+...

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