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Prove the following identity: (tan^3thet...

Prove the following identity: `(tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=(1-2sin^2thetacos^2theta)/(sintheta\ costheta)`

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Prove: (tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=secthetacos e c\ theta-2sinthetacostheta

Prove the following identities: (cos^2theta)/(1-tantheta)+(sin^3theta)/(sintheta-costheta)=1+sinthetacostheta

Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2theta-sin^2theta))sin^2thetacos^2theta=(1-sin^2thetacos^2theta)/(2+sin^2thetacos^2theta)

Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2theta-sin^2theta))sin^2thetacos^2theta=(1-sin^2thetacos^2theta)/(2+sin^2thetacos^2theta)

Prove that : (tan^(2)theta)/(1+tan^(2)theta)+(cot^(2)theta)/(1+cot^(2)theta)=1

Prove the following identities: sin^8theta-cos^8theta=(sin^2theta-cos^2theta)(1-2sin^2thetacos^2theta)

Prove the following identity: ((1+cottheta+t a ntheta)(sintheta-costheta))/(sec^3theta-cos e c^3theta)=sin^2thetacos^2theta

Prove the following identities: tan^2theta+cot^2theta+2=sec^2thetacos e c^2theta

Prove the following identities: 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1=0 sin^6theta+cos^6theta+3sin^2thetacos^2theta=1 (sin^8theta-cos^8theta)=(sin^2theta-cos^2theta)(1-2s in^2thetacos^2theta)

Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove the following identity: (s e c A\ s e c B+t a n AtanB)^2-(s e c ...

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  2. Prove the following identity: (costheta)/(1-sintheta)=(1+costheta+sint...

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  3. Prove the following identity: (tan^3theta)/(1+tan^2theta)+(cot^3theta)...

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  4. If (ax)/(costheta)+(by)/(sintheta)=a^2-b^2 , and (axsintheta)/(cos^2th...

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  5. Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2t...

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  6. Prove the following identity: (1+t a nalphat a nbeta)^2+(tanalpha-t a ...

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  7. Prove the following identity: ((1+cottheta+t a ntheta)(sintheta-costhe...

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  8. Prove the following identity: (2sinthetacostheta-costheta)/(1-sintheta...

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  9. Prove the following identity: costheta(t a ntheta+2)(2t a ntheta+1)=2s...

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  10. If sintheta=(a^2-b^2)/(a^2+b^2), find the value of t a ntheta,\ s e ct...

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  11. If t a ntheta=a/b ,\ show that (a\ sintheta-b costheta)/(\ a\ sinthet...

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  12. If cosectheta-sintheta=a^3, sectheta-costheta=b^3, then prove that a^...

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  13. If sintheta+costheta=m , then prove that sin^6theta+cos^6theta=(4-3(m^...

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  14. Find the values of cos theta and tan theta when sin theta =-3/5 and pi...

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  15. If cos theta= -1/2 and pi < theta < (3pi)/2 then find the value of 4ta...

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  16. Prove that: sqrt((1-sintheta)/(1+sintheta))= sec theta- tan theta when...

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  17. Find the values of the other five trigonometric functions I each of th...

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  18. Find the values of the other five trigonometric functions in each of t...

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  19. Find the values of the other five trigonometric functions in each of ...

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  20. Find the values of the other five trigonometric functions in each of t...

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