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Prove that sintheta+sin3theta+sin5theta+...

Prove that `sintheta+sin3theta+sin5theta+sin7theta=4costhetacos2thetasin4theta`

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(b)Show that (sin theta+sin 3theta+sin 5 theta+sin 7 theta)/(cos theta+cos3theta+cos 5 theta+cos 7 theta)=tan 4 theta .

Prove that (tan5theta+tan3theta)/(tan5theta-tan3theta)=4cos2thetacos4theta

Simplify costheta[[costheta, sin theta],[-sintheta, costheta]]+sintheta[[sintheta, -costheta],[costheta, sintheta]]

Prove that (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cottheta

Prove that sin (3theta)/(1+2cos 2theta)=sin theta .

Prove that (sin2theta)/(1+cos2theta)=tantheta

Prove that (1+sintheta-cos theta)/(1+sin theta+costheta)=tantheta//2

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Consider the equation sintheta+sin3theta+sin5theta=0 prove that sin3theta(1+2cos2theta)=0

Let f(theta)=sintheta(sintheta+sin3theta) . then f(theta) is

A N EXCEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If A=30^@ deduce the value of tan60^@

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  2. Express sintheta+sin3theta and sin5theta+sin7theta in product form

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  3. Prove that sintheta+sin3theta+sin5theta+sin7theta=4costhetacos2thetasi...

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  4. Express cos40^@ cos80^@ in sum form

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  5. Prove that cos20^@ cos40^@ cos80^@=1/8

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  6. Express sin3A and cos2A in terms of sine function

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  7. Convert sin5A+sinA into product form and show that sin5A=5sinA-20sin^3...

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  8. If A=18^@ deduce the value of sin36^@=sqrt(10-2sqrt5)/4

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  9. Prove that cos^2theta=(1+cos2theta)/2

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  10. Evaluate cos^2(pi/8)+cos^2((3pi)/8)

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

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  12. Prove that sinA/(1+cosA)=tan(A/2)

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  13. Show that tan 15^@ = 2 - sqrt3

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  14. Given that 1-costheta=2sin^2(theta/2) and 1+costheta=2cos^2(theta/2) p...

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  15. Given that 1-costheta=2sin^2(theta/2) and 1+costheta=2cos^2(theta/2)de...

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  16. Writing 4A=2xx2A prove that sin4A=4sinAcos^3A-4cosAsin^3A

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  17. if sin4A=4sinAcos^3A-4cosAsin^3A Dividing numerator and denominator on...

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  18. cosecA=1/sinA and cotA=cosA/sinA prove cosecA-cotA=tan(A/2)

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  19. Given that 1-costheta=2sin^2(theta/2) and 1+costheta=2cos^2(theta/2)de...

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  20. Given that tantheta=a/b find sin2theta and cos2theta

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