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If sin x + cos x =sqrt2 cos x, show that...

If `sin x + cos x =sqrt2 cos x`, show that : `sqrt2 sin x =cos x- sin x`.

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If tan theta =p/q, show that : (p sin theta-q cos theta)/(p sin thet...

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  2. If sin x + sin^2 x = 1, show that : cos^4 x+ cos^2 x=1.

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  3. If sin x + cos x =sqrt2 cos x, show that : sqrt2 sin x =cos x- sin x.

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  4. If a cos theta-b sintheta=c, then find the value of a sin theta+b cos...

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  5. If A+B = alpha and sin A =k sin B, show that : tanA= (k sin alpha)/(...

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  6. Prove that sin frac (pi)(14) sin frac (3 pi)(14) sin frac (5pi)(14) si...

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  7. Prove that : cos^2 A+cos^2 (A+120^@)+ cos^2 (A-120^@)=3/2.

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  8. Prove that cos A cos 2A cos 4A cos 8A= (sin 16A)/(16 sin A).

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  9. If alpha and beta are two real numbers such that alpha- beta ne 2 n pi...

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  10. If alpha and beta are two real numbers satisfying the equation a cos x...

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  11. If alpha and beta are two real numbers satisfying the equation a cos x...

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  12. If (sin^4 theta)/a+ (cos^4 theta)/b= 1/(a+b), prove that (sin^12 thet...

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  13. If (sin^4 theta)/a+ (cos^4 theta)/b= 1/(a+b), prove that (sin^(4n) th...

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  14. If a tan alpha+b tan beta=(a+b) tan ((alpha+beta)/2), where alpha ne b...

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  15. If alpha and beta are the solution of a cos theta + b sin theta = c...

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  16. If alpha and beta are the solutions of a cos theta+b sin theta=c, the...

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  17. If alpha and beta are distinct roots of the equation : a tan theta+b s...

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  18. Prove that cot 7 1^@/2 = (1+cos15^@)/(sin 15^@).

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  19. Prove that 4 cos 36^@ +cot 7 1^@/2 = sqrt1+sqrt2 +sqrt3+ sqrt4+ sqrt5+...

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  20. Prove that tan 82 (1(0))/(2)=(sqrt(3)+sqrt(2))(sqrt(2)+1) or cot 7 (...

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