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Prove that sin frac (pi)(14) sin frac (3...

Prove that `sin frac (pi)(14) sin frac (3 pi)(14) sin frac (5pi)(14) sin frac (7pi)(14)=1/8`.

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Prove that : sin frac (pi)(5) sin frac (2pi)(5) sin frac (3pi)(5) sin frac (4pi)(5) =5/16 .

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Prove that : sin^2 frac (pi)(8)+ sin^2 frac (3pi)(8)+ sin^2 frac (5pi)(8)+sin^2 frac (7pi)(8)=2 .

Prove that sin frac (pi)(10)+ sin frac (13 pi)(10)=-1/2 .

Prove that : 3 sin frac (pi)(6) sec frac (pi)(3)-4 sin frac (5pi)(6) cot frac(pi)(4)=1 .

Prove that: 2cos frac (pi)(13)cos frac (9pi)(13)+cos frac (3pi)(13)+cos frac (5pi)(13)=0

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Prove that: sin^2frac (pi)(6)+cos^2frac (pi)(3)-tan^2frac (pi)(4)=-1/2

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
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  2. If A+B = alpha and sin A =k sin B, show that : tanA= (k sin alpha)/(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Prove that 4 sin 27^@ = sqrt(5+sqrt5)+sqrt(3-sqrt5).

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  19. If tan beta= (Q sin alpha)/(P+Q cos alpha), prove that : tan (alpha-b...

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  20. Prove that cot theta cot 2 theta+ cot 2 theta cot 3 theta+ 2= cot thet...

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