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Evaluate sin 27 ^(@) sin 63 ^(@) - c...

Evaluate
` sin 27 ^(@) sin 63 ^(@) - cos 63^(@) cos 27 ^(@) `

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ICSE-TRIGONOMETRICAL IDENTITIES-EXERCISE 21 (E)
  1. Evaluate ( 5 sin 66 ^(@))/( cos 24 ^(@)) -( 2 cot 85^(@))/(tan 5^(@...

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  2. Evaluate cos 40 ^(@) cosec 50 ^(@)+ sin 50 ^(@) sec 40 ^(@)

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  3. Evaluate sin 27 ^(@) sin 63 ^(@) - cos 63^(@) cos 27 ^(@)

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  4. Evaluate : 3(sin 72^(@))/(cos 18^(@))-(sec 32^(@))/(cosec 58^(@))

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  5. Evaluate 3 cos 80 ^(@) cosec 10 ^(@) + 2 cos 59 ^(@) cosec 31 ^(@...

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  6. Evaluate : (cos 75^(@))/ (sin 15^(@)) + (sin 12^(@))/ (cos 78^(@)) -...

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  7. Prove that : tan (55^(@) + x) = cot (35^(@) - x)

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  8. Prove that : sec (70^(@) - 0) = cosec (20^(@) + 0)

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  9. Prove that : Sin( 28 ^(@) +A) = cos ( 62 ^(@) - A)

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  10. Prove that : (1)/ (1 + cos (90^(@) - A)) + (1)/ (1 - cos (90^(@) - A...

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  11. Prove that : (1)/ (1 + sin (90^(@) - A)) + (1)/ (1 - sin (90^(@) - A...

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  12. If A and B are complementary angles, prove that : cot B + cos B = se...

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  13. If A and B are complementary angles, prove that : cot A cot B - sin ...

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  14. If A and B are complementary angles, prove that : cosec^(2) A + cose...

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  15. If A and B are complementary angles, prove that : (sin A + sin B)/ (...

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  16. Prove that : (1)/ (sin A - cos A) - (1)/ (sin A + cos A) = (2 cos A)...

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  17. Prove that : (cot^(2) A)/(cosec A - 1) - 1 = cosec A

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

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  19. Prove that : cos A (1 + cot A) + sin A (1 + tan A) = sec A + cosec A

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  20. Prove that : (sin A - cos A) (1 + tan A + cot A) = (sec A)/ (cosec^(...

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