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Prove the following identities : (1)/ ...

Prove the following identities :
`(1)/ (cos A + sin A) + (1)/(cos A - sin A) = (2 cos A)/(2 cos^(2) A - 1)`

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

Prove the following identities : (1 + sin A)/ (cos A) + (cos A)/(1 + sin A) = 2 sec A

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

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

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  3. Prove the following identities : 1 - (sin^(2) A)/ (1 + cos A) = cos ...

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

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  5. Prove the following identities : (cot A)/(1 - tan A) + (tan A)/(1- c...

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  6. Prove the following identities : (cos A)/(1 + sin A) + tan A = sec A

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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