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Prove the following identity: (1/(sec^2t...

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)`

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sin^4theta+2sin^2thetacos^2theta=1-cos^4 theta

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

(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta) =

(1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

sin^(4)theta+sin^(2)thetacos^(2)theta=?

prove that- sin^2theta/cos^2theta+cos^2theta/sin^2theta=1/ (sin^2thetacos^2theta)-2

cos^(2)theta-sin theta.cos theta-(1)/(2)=0

If sin^4 theta+cos^4 theta=l+3+ksin^2thetacos^2theta then

(1+sin2 theta-cos2 theta)/(1+sin2 theta+cos2 theta)=tan theta

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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove: (tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=secthet...

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  2. Prove: (tantheta+1/(costheta))^2+(tantheta-1/(costheta))^2=2((1+sin^2t...

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

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  4. Prove: ((1+sintheta-costheta)/(1+sintheta+costheta))^2=(1-costheta)/(1...

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  5. Prove: (secA+tanA-1)(secA-tanA+1)=2tanA

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  6. Prove: (1+cotA-cos e c\ A)(1+tanA+secA)=2

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  7. Prove: (cos e c\ theta-sectheta)(cottheta-tantheta)=(cos e c\ theta+se...

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  8. Prove: (secA-cos e c\ A)(1+tanA+cotA)=tanAsecA-cotA cos e c\ A .

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  9. (cosAcosecA-sinAsecA)/(cosA+sinA)=cosecA-secA

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  10. Prove: (sinA)/(secA+tanA-1)+(cosA)/(cos e c\ A+cotA-1)=1

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  11. Prove: (tanA)/((1+tan^2A)^2)+(cotA)/((1+cot^2A)^2)=sinAcosA

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  12. Prove: sec^4A(1-sin^4A)-2tan^2A=1

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  13. Prove: (cot^2A(secA-1))/(1+sinA)=sec^2A((1-sinA)/(1+secA))

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  14. Prove: sin^2Acos^2B-cos^2Asin^2B=sin^2A-sin^2B

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  15. Prove: (cotA+tanB)/(cotB+tanA)=cotAtanB

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  16. Prove: (tanA+tanB)/(cotA+cotB)=tanAtanB

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  17. Prove: cot^2A cos e c^2B-cot^2B cos e c^2A=cot^2A-cot^2B .

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  18. Prove: tan^2Asec^2B-sec^2Atan^2B=tan^2A-tan^2B

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  19. If 3sintheta+5costheta=5 , show that 5sintheta-3costheta=+-3

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  20. If cos e c\ theta+cottheta=m and cos e c\ theta-cottheta=n , prove ...

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