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Express sintheta+sin3theta and sin5theta...

Express `sintheta+sin3theta` and `sin5theta+sin7theta` in product form

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A N EXCEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Prove that (sinx+sin3x)/(cosx+cos3x)=tan2x

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  2. If A=30^@ deduce the value of tan60^@

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

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

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

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

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  7. Express sin3A and cos2A in terms of sine function

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

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

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

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

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

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

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

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

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

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

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

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

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

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