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If sintheta+costheta=x , Prove that : si...

If `sintheta+costheta=x ,` Prove that : `sin^6theta+cos^6theta=(4-3(x^2-1)^2)/4`

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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. If cottheta=15/8, then Evaluate ((2+2sintheta)(1-sintheta))/((1+costhe...

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  2. Prove the trigonometric identities: (tantheta)/(1-cottheta)+(cottheta)...

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  3. If sintheta+costheta=x , Prove that : sin^6theta+cos^6theta=(4-3(x^2-1...

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  4. Prove the following identities: ((1+sintheta)^2+(1-sintheta)^2)/(co...

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  5. Prove that (1-sintheta+costheta)^2=2(1+costheta)(1-sintheta)

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  6. Prove the following identities: (sinA+secA)^2+(cos"A"+"c o s e cA")^2=...

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  7. Prove the following identities: (1+tanAtanB)^2+(tan"A"-tan"B")^2=sec^2...

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  8. Prove the following identities: 2(sin^6theta+cos^6theta)-3(sin^4theta+...

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  9. Prove the following identities: tan^2A-tan^2B=(cos^2B-cos^2A)/(cos^2Bc...

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  10. If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt...

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  11. If tantheta+sintheta=m and tantheta-sintheta=n , then m^2-n^2=

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  12. if (secA+tanA)(secB+tanB)(secC+tanC)=(secA-tanA)(secB-tanB) (secC-t...

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

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

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

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

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

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

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

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

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