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Prove that abs(sinthetasin(60^@-theta)si...

Prove that `abs(sinthetasin(60^@-theta)sin(60^@+theta)) le1/4` for all values of `theta`.

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PATHFINDER-MULTIPLE AND SUB-MULTIPLE ANGLES-QUESTION BANK
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  4. Find the value of sin^2 24^@-sin^2 6^@.

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  12. Prove that tanA+tan(60^@+A)-tan(60^@-A)=3tan3A

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  13. Show that cot 7(1^@/2)=2+sqrt2+sqrt3+sqrt6

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  14. Prove that tanAcdottan(A+60^@)+tanAcdottan(A-60^@)+tan(A+60^@)tan(A-60...

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  15. Prove that abs(sinthetasin(60^@-theta)sin(60^@+theta)) le1/4 for all v...

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  16. Prove that if tanA=1/7 and tanB=1/3 then cos2A=sin4B

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  17. Prove that tan6^@tan42^@tan66^@tan78^@=1

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  18. Prove that (1+"cos" (pi)/10)(1+"cos"(3pi)/10)(1+"cos"(7pi)/10)(1+"cos"...

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  19. If sinx=(sqrt5)/3 x lies is the 2nd quadrand then find the value of"c...

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  20. Prove that "sin"pi/5"sin"(2pi)/5"sin"(3pi)/5"sin"(4pi)/5=5/(16)

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