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If tan((pi)/(2) sin theta )= cot((pi)/(...

If ` tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta )`, then ` sin theta + cos theta ` is equal to

A

0

B

1

C

`-1`

D

1 or -1

Text Solution

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The correct Answer is:
D
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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
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  7. If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

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  8. lambda cos x - 3 sinx=lambda +1 is solvable for which value of λ .

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  13. The number of solutions of the equation cos 4x+6=7 cos 2x , when x ...

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  14. The number of solutions of cot(5pi sin theta )=tan (5 pi cos theta ),...

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  15. If e^[(sin^(2)x+sin^(4) x +sin^(6)x+.... oo) loge2] satisfies the equ...

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  16. The total number of solutions of cos x= sqrt(1- sin 2x) in [0, 2pi] is...

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  17. Solve : cos 3x. Cos^(3)x+sin 3x.sin^(3)x=0

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