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In a triangle `ABC, angle A gt angle B`. If the measures of `angle A, angle B` satisfy the equation `3 sin x - 4 sin^(3) x - k = 0, 0 lt k lt 1` then the measure of `angle C` is

A

`pi//3`

B

`pi//2`

C

`2pi//3`

D

`5pi//6`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
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  2. The smallest positive values of x and y which satisfy tan (x-y)=1, sec...

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  4. The general solution x for the equation 9^(cos x)-2.3^(cos x)+1=0 is

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  5. The equation e^(sin x)-e^(-sin x)-4=0 has

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  6. The equation sin^(4)x -2cos^(2)x + a^(2)=0 is solvable if

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  7. The equation cos^(4)x-(a+2)cos^(2)x-(a+3)=0 possesses a solution if

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  8. If (1)/(6) sin x, cos x, tan x are in G.P. then x is equal to

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  9. The minimum value of 2^(sin x)+2^(cos x) is

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  10. If tan px = cot qx then the solutions are in

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  11. If x in (-pi, pi) such that y=1 +|cos x|+|cos^(2)x|+|cos^(3)|+ …. And ...

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  13. If the equation (cos p - 1)x^(2) + cos p x + sin p =0 in the varable x...

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  14. In a triangle ABC, angle A gt angle B. If the measures of angle A, ang...

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  15. If alpha, beta are different values of x satisfying a cos x + b sin x ...

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  16. If alpha, beta are solutions of a cos x + b sin x = c then cos alpha +...

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  17. If alpha, beta are solutions of a cos x + b sin x = c then sin alpha +...

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  18. If alpha, beta are the solutions of a cos 2theta + b sin 2theta = c, t...

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  19. If alpha, beta are different values of theta satisfying the equation 5...

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  20. If alpha, beta are solutions of a tan theta + b sec theta = c then ta...

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