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Prove the following identity: ((1+cotthe...

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

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Prove the following identities: (tantheta-cottheta)/(sinthetacostheta)=sec^2theta-cos e c^2theta=tan^2theta-cot^2theta

Prove the following identity: (cosectheta-sintheta)(s e ctheta-costheta)(t a ntheta+cottheta)=1

Prove the following identity: cos^3thetasin3theta+sin^3thetacos3theta=3/4sin4thetadot

Prove the following identity: costheta(t a ntheta+2)(2t a ntheta+1)=2s e ctheta+5sintheta

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

Prove the following identity: (2sinthetacostheta-costheta)/(1-sintheta+sin^2theta-cos^2theta)=cottheta

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

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)

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If sintheta=(12)/(13)a n d\ theta lies in the second quadrant, find th...

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  18. If sintheta=3/5,tanphi=1/2 and pi/2ltthetaltpi phi<(3pi)/ 2="" ,="" fi...

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  19. If costheta=-3/5 and pilttheta<(3pi)/2 find the values of other five ...

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  20. Find the values of the following trigonometric ratio: sin315^0

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