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For real values of 'x' , Which of the following is/are always positive? (a) sin(cosx) (b) sin(sinx)

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
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  2. The length of the shadow of a vertical pole of height h , thrown by th...

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  3. For real values of 'x' , Which of the following is/are always positiv...

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  4. The total number of solution of sin{x}=cos{x} (where {} denotes the fr...

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  5. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

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  6. If tan^3A+tan^3B+tan^3C=3tanA* tanB*tanC , then prove that triangle A...

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  7. Find the value of x for which 3cosx=x^2-8x+19 holds good.

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  8. The set of all x in ((-pi)/2,pi/2) satisfying |4sinx-1| < sqrt(5) ...

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  9. a triangle A B C with fixed base B C , the vertex A moves such that co...

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  10. Prove that tan70^0=2tan50^0+tan20^0

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  11. Show that the equation sintheta=x+1/x is not possible if x is real.

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  12. Solve: 2sin^2x+sin^2 2x=2

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  13. In a triangle PQR, P is the largest angle and cosP=1/3. Further the in...

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  14. The upper 3/4 th portion of a vertical pole subtends an angle theta su...

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  15. Solve (log)(tanx)(2+4cos^2x)=2

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  16. If f(x)=cos^2x+s e c^2x ,t h e n f(x)<1 (b) f(x)=1 (c) 2ltf(...

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  17. prove that sintheta.sec3theta+sin3theta.sec3^2theta+sin3^2theta.sec3^3...

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  18. Solve 4cot2theta=cot^2theta-tan^2theta

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  19. Find the range of f(x)=sin^2x-3sinx+2

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  20. Prove that (cos10^0+sin10^0)/(cos10^0-sin 10^0)=tan55^0

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