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Prove the following identities : (sin ...

Prove the following identities :
`(sin A - cos A + 1)/(sin A + cos A - 1) = (cos A)/ (1 - sin A)`

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ICSE-TRIGONOMETRICAL IDENTITIES-EXERCISE 21 (E)
  1. Prove the following identities : (cos A)/(1 + sin A) + tan A = sec A

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  2. Prove the following identities : (sin A)/(1 - cos A) - cot A = cosec...

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  3. Prove the following identities : (sin A - cos A + 1)/(sin A + cos A ...

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  4. Prove the following identities : sqrt((1+sinA)/(1-sinA))=(cos A)/(1-...

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  5. Prove the following identities : sqrt((1-cosA)/(1+cosA))=(sin A)/(1+...

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  6. Prove the following identities : (1 + (sec A - tan A)^(2))/(cosec A ...

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  7. Prove the following identities : ((cosec A - cot A)^(2) + 1)/(sec A ...

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  8. Prove the following identities : cot^(2) A ((sec A - 1)/(1 + sin A))...

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  9. Prove the following identities : (1 - 2 sin^(2) A)^(2)/(cos^(4) A - ...

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  10. Prove the following identities : sec^(4) A (1 - sin^(4) A) - 2 tan^(...

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  11. Prove the following identities : cosec^(4) A (1 - cos^(4) A) - 2 cot...

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  12. Prove the following identities : (1 + cot A - cosec A) ( 1 + tan A +...

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  13. If sin A + cos A = p and sec A + cosec A = q , then prove that : ...

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  14. If x = a cos theta and y = bcot theta, show that : (a^(2))/(x^(2...

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  15. If sec A + tan A = p, show that : sin A = (p^(2) - 1)/(p^(2) + 1...

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  16. If tan A = n tan B and sin A = m sin B, prove that : cos^(2) A =...

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  17. if 2 sin A - 1 = 0, show that : sin 3 A = 3 sin A - 4 sin^(3) A

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  18. If 4 cos^(2) A - 3 = 0, show that : cos 3 A = 4 cos^(3) A - 3 co...

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  19. Evaluate without using trigonometric tables. 2(("tan" 35^(@))/("cot"...

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  20. Evaluate : sec 26^(@) sin 64^(@) + (cosec 33^(@))/(sec 57^(@))

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