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Prove the following identities: (sinthe...

Prove the following identities: `(sintheta+cos e ctheta)^2+(costheta+sectheta)^2=7+tan^2theta+cot^2theta`

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Prove the following identities: (sintheta+sectheta)^2+(costheta+cos e ctheta)^2=(1+secthetacos e ctheta)^2

Prove the following identities: (sintheta-sectheta)^2+(costheta-cos e ctheta)^2=(1-secthetacos e ctheta)^2

Prove the following identities: (1-costheta)/(1+costheta)=(cos e ctheta-cottheta)^2

Prove the following identities: (cos e ctheta-cottheta)^2=(1-costheta)/(1+costheta)

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

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

Prove the following identities: (sintheta)/(1-costheta)+(tantheta)/(1+costheta)=secthetacos e ctheta+cottheta

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

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

Prove the following identities: 2sec^2theta-sec^4theta-2cos e c^2theta+cosec^4 theta=cot^4theta-tan^4theta

ICSE-TRIGONOMETRICAL IDENTITIES-QUESTIONS
  1. Prove the following identities: (sintheta+cos e ctheta)^2+(costheta+s...

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  2. Prove the identity : tan A + cot A = sec A . cosec A

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  3. Prove that : cos^(4) A - sin^(4) A = 2 cos^(2) A - 1

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  4. Prove that : (1 + cot A)^(2) + (1 - cot A)^(2) = 2 cosec^(2) A

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  5. Prove that : tan^(4) A + tan^(2) A = sec^(4) A - sec^(2) A

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  6. Prove that : (sin A)/ (1 + cos A) + (1 + cos A)/ (sin A) = 2 cosec A

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  7. Prove that : (1 + cos A)/(1 - cos A) = (cosec A + cot A)^(2)

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  8. Prove that : (cot A + tan B)/ (cot B + tan A) = cot A tan B

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  9. Prove that : (cos A cot A)/ (1 - sin A) = 1 + cosec A

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  10. Prove that : (sec A - tan A)/ (cosec A + cot A) = (cosec A - cot A)/...

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  11. Prove that : sqrt ((1 - sin A)/(1 + sin A)) = sec A - tan A

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  12. Prove that : (tan A + sec A - 1)/ (tan A - sec A + 1) = (1 + sin A)/...

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  13. Prove that : (cos A)/ (1 - tan A) + (sin A)/ (1 - cot A) = cos A + s...

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  14. Prove that : (1 + tan^(2) A) + (1 + (1)/ (tan^(2) A)) = (1)/ (sin^(2...

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  15. If tan A + sin A = m and tan A - sin A = n, prove that : m^(2) -...

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  16. If x = a sec A cos B, y = b sec A sin B and z = c tan A, show that...

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  17. Find the value of x, if : cos x = cos 60^(@) cos 30^(@) + sin 60^(@)...

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  18. Given: cos 38^(@)sec(90^(@)-2A)=1, find the value of angle A.

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  19. Find : sin 36^(@) 51'

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  20. Find : tan 53^(@) 38'

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  21. Find : cos 62^(@) 27'

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