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If tan^2theta=1-a^2, prove thats e cthet...

If `tan^2theta=1-a^2,` prove that`s e ctheta+tan^3thetacos e ctheta=(2-a^2)^(3/2)`

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RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. if (secA+tanA)(secB+tanB)(secC+tanC)=(secA-tanA)(secB-tanB) (secC-t...

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  2. Prove the following identities: (cosA)/(1-sinA)+(sinA)/(1-cosA)+1 = (...

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  3. If tan^2theta=1-a^2, prove thats e ctheta+tan^3thetacos e ctheta=(2-a^...

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  4. If a sectheta+bt a ntheta+c=0 and psectheta+qtantheta+r=0, prove that...

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  5. If sectheta+tantheta=p , show that (p^2-1)/(p^2+1)=sintheta

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  6. If sintheta+costheta=pa n dsectheta+cos e ctheta=q , show that q(p^2-1...

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  7. Without using trigonometric tables, evaluate each of the following: (...

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  8. Without using trigonometric tables, evaluate each of the following: (s...

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  9. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthe...

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  10. Prove the trigonometric identities: sqrt((1-costheta)/(1+costheta))=co...

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  11. If sectheta=x+1/(4x) ,prove that :sectheta+tantheta=2xor ,1/(2x)

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  12. Prove that : (sinthetacos(90^0-theta)costheta)/(sin(90^0-theta))+(cost...

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  13. If sectheta+tantheta=x , obtain the values of sectheta,t a ntheta and...

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  14. If sintheta+sin^2theta=1,find the value of cos^(12)theta+3cos^(10)t...

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  15. If sintheta+sin^2theta+sin^3theta=1, then prove that cos^6theta-4cos^4...

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  16. If cottheta+tantheta=xa n dsectheta-costheta=y , prove that (x^2y)^(2/...

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  17. If acostheta-bsintheta=c, then prove that: asintheta+bcostheta=+-sqr...

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  18. Prove the following identities: (sintheta+cos e ctheta)^2+(costheta+s...

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  19. Prove the following identities: (sintheta)/(1-costheta)+(tantheta)/(1...

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  20. Solve: (1 + tantheta + sectheta)(1+ cottheta - cosectheta)

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