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If A is not an integral multiple of `(pi)`, prove that `cos A cos 2A cos 4A cos 8A =(sin 16A)/(16 sin A)` Hence deduce that `cos. (2pi)/(15). Cos. (4pi)/(15) .cos. (8pi)/(18). Cos. (16pi)/(15)=(1)/(16)`

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(D)
  1. (Cos^(3)theta-Cos3theta)/(Costheta)+(Sin^(3)theta+Sin3theta)/(Sintheta...

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  2. Show that CosA=(Cos3A)/(2Cos2A-1). Hence find the value of Cos15^(@)

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  3. Show that sin A= (sin 3A) /(1+2 cos 2A). Hence find the value of sin 1...

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  4. Prove that tanalpha=(sigmatauv2alpha)/(1+chiosigma2alpha) and hence de...

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  5. Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4.

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  6. Prove that sqrt(3)"cosec"20^(@)-"sec"20^(@) =4.

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  7. tan9^(@)-tan27^(@)-tan63^(@)+tan81^(@)=

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  8. In a Delta ABC, If tan .(A)/(2)=(5)/(6) and tan .(B)/(2) =(20)/(37), ...

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  9. If cos theta =(5)/(13) and 270 ^(@) lt theta lt 360^(@), evaluate sin ...

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  10. If 180^(@) lt theta lt 270^(@) and sintheta=(-4)/5 calculate sin[theta...

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  11. cos^(2) pi/8 + cos^(2) 3pi/8 + cos^(2) 5pi/8 + cos^(2) 7pi/8 =2 అని చూ...

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  12. Show that cos^4""pi/8+cos^4""(3pi)/8+cos^4""(5pi)/8+cos^4""(7pi)/8=3/2

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  13. tan x + tan (x +pi/3) + tan (x +2pi/3) =3 అయితే , tan 3x =1 అని చూపండి...

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  14. Show that sin""(pi)/5.sin""(2pi)/5.sin""(3pi)/5.sin""(4pi)/5=5/16.

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  15. cos^(2)(pi/10) + cos^(2) (2pi/5)+ cos^(2)(3pi/5) + cos^(2)(9pi/10) = 2...

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  16. Prove that (1+cos""pi/10)(1+cos""(3pi)/10)(1+cos""(7pi)/10)(1+cos""(9p...

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  17. Prove that cos""(2pi)/7.cos""(4pi)/7.cos""(8pi)/7=1/8.

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  18. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

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  19. If cos alpha=3/5 and cos beta = 5/13 and alpha , beta are acute angles...

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  20. If A is not an integral multiple of (pi), prove that cos A cos 2A cos ...

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