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If sintheta+sin^2theta=1,find the value ...

If `sintheta+sin^2theta=1`,find the value of`` `cos^(12)theta+3cos^(10)theta+3cos^8theta+cos^6theta+2cos^4theta+2cos^2theta-2`

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`sin theta + sin^2 theta=1`(given)
`sin theta =1-sin^2 theta=cos^2 theta`
Therefore,`cos^2 theta+cos^4 theta=cos^2 theta(1+cos^2 theta)`
`sin theta(1+sin theta)`
...
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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove that : (sinthetacos(90^0-theta)costheta)/(sin(90^0-theta))+(cost...

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

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

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

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  5. If cottheta+tantheta=x and sectheta-costheta=y , prove that (x^2y)^(...

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

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

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

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  9. Find (1 + tantheta + sectheta)(1+ cottheta - cosectheta)

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  10. Prove the following identities: 1/(cos e cA-cotA)-1/(sinA)=1/(sinA)-1/...

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  11. Prove the following trigonometric identities: (sintheta)/(1-costheta)=...

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  12. Prove the following trigonometric identities: sqrt((1-sintheta)/(1+sin...

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  13. Prove the following identities: (1-sintheta)/(1+sintheta)= (sectheta...

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  14. If cos e ctheta-sintheta=l and sectheta-costheta=m , prove that l^2m^2...

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  15. If tanA=ntanB and sinA=msinB, prove that cos^2A=[m^2-1]/[n^2-1]

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  16. If x=asinthetaa n dy=btantheta, then prove that (a^2)/(x^2)-(b^2)/(y^2...

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  17. If (cosalpha)/(cosbeta)=m and (cosalpha)/(sinbeta)=n show that (m^2+n^...

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  18. Prove the following identities: cos^4A-cos^2A=sin^4A-sin^2A

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  19. Prove the following identities: (sin^2A)/(cos^2A)+(cos^2A)/(sin^2A)=1/...

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  20. If xsin^3theta+ycos^3theta=sinthetacostheta and xsintheta=ycostheta, p...

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