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sin^4(pi/16)+sin^4(3pi/16)+sin^4(5pi/16)...

`sin^4(pi/16)+sin^4(3pi/16)+sin^4(5pi/16)+sin^4(7pi/16)=3/2`

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
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  2. If cos(alpha+beta)=4/5; sin(alpha-beta)=5/13 and alpha,beta lie betwee...

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  3. sin^4(pi/16)+sin^4(3pi/16)+sin^4(5pi/16)+sin^4(7pi/16)=3/2

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  4. If costheta=(cosalpha-e)/(1-e cosalpha),\ prove that tantheta/2=+-sqr...

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  5. Prove that, cot 7 1/2 ^@ or tan 82 1/2 ^@ = (sqrt(3)+sqrt(2))(sqrt(2)+...

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  6. Prove that : cosec theta + cosec 2 theta + cosec 2^2 theta +.............

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  7. Find the maximum & minimum values of 27^(cos2x). 81^(s in2x)

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  8. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

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  9. if m*tan(theta-30)=n*tan(theta+120), show that cos2theta=(m+n)/(2(m-n)...

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  10. If the value of the expression sin 25^@* sin 35^@* sin 85^@ can be exp...

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  11. Prove that (4cos^2 9^0-3)(4cos^2 27^0-3)=tan9^0dot

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  12. Let P(k)=(1+cospi/(4k)) (1+cos((2k-1)pi)/(4k)) (1+cos((2k+1)pi)/(4k))...

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  13. If (1+t a n1^0)dot(1+t a n2^0)dot(1+t a n3^0)(1+tan45^0)=2^n , then ' ...

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  14. Prove that in an acute triangle ABC, the least values of Sigma secA an...

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  18. If P=cos(pi/19)+cos((3pi)/19)+cos((5pi)/19)+....+cos((17pi)/19) and Q=...

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  19. Show that 4sin27^0=(5+sqrt(5))^(1/2)-(3-sqrt(5))^(1/2)

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