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Prove that: t a n 70^0=t a n 20^0+2t a n...

Prove that: `t a n 70^0=t a n 20^0+2t a n 50^0dot`

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Prove that t a n A+2t a n2A+4t a n4A+8cot8A=cot Adot

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Show that: t a n(60^0+theta)t a n(60^0-theta)=(2cos2theta+1)/(2cos2theta-1)

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If sintheta=-1/2a n d\ t a ntheta=1/(sqrt(3))t h e n\ theta is equal t...

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  2. Show that sqrt(3)\ cos e c\ 20^0-sec20^0=4.

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  3. Prove that: t a n 70^0=t a n 20^0+2t a n 50^0dot

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  4. If sin 2A=lambda sin 2B, prove that : (tan (A+B))/(tan(A-B)) = (lambda...

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  5. (sin5theta+sin2theta-sin tehta)/(cos5theta+2cos3theta+2cos^(2)theta+co...

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  6. Prove that: s in 12^0s in 48^0s in 54^0=1/8dot

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  7. Show that : tan (60^0 + A). Tan (60^0 -A) = (2 cos 2A+1)/(2cos 2A-1)

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  8. Prove that :t a n A+tan(60^0+A)+tan(120^0+A)=3t a n3A

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  9. sin (67(1)/2)^(@)+cos(67(1)/2)^(@) is equal to

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  10. The value of sin 78^0-sin 66^0-sin 42^0+sin6^0 is a. -1 b. 1//2 c. -1/...

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  11. In any triangle A B C ,\ sin A-cos B=cos C ,\ the angle\ B is a.pi...

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  12. If A+B+C=(3pi)/2, t h e ncos2A+cos2B+cos2C is equal to 1-4cos Acos Bc...

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  13. Prove that 5 cos theta+3cos(theta+(pi)/(3))+3 lies between -4 and 10.

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  14. Find the maximum value of 1+sin((pi)/(4)+theta) +2sin ((pi)/(4)-thet...

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  15. Prove that t a n A+2t a n2A+4t a n4A+8cot8A=cot Adot

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  16. sum(r=1)^(n-1)cos^(2) (rpi)/2 is equal to

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  17. Prove that: (1+sec2theta)(1+sec4theta)(1+sec8theta)(1+sec2^ntheta)=t a...

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  18. Prove that tan alpha+2 tan 2 alpha+2^(2)tan2^(2)alpha+.................

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  19. S=cosecx+cosec 2x+cosec 4x+…+cosec 2nx=cot(x/2)−cot2nx

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  20. The expression (tan(x-(pi)/(2)).cos((3pi)/(2)+x)-sin^(3)((7pi)/(2)-x...

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