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Evaluate 3 cos 80 ^(@) cosec 10 ^(@)...

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

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Evaluate : (i) 3 cos 80^(@) "cosec 10"^(@) + 2 sin 59^(@) sec 31^(@) (ii) (cos 70^(@))/(sin 20^(@)) + (cos 59^(@))/(sin 31^(@)) - 8 sin^(2) 30^(@) (iii) "cosec" (65^(@) + A) - sec(25^(@) - A)

Evaluate : 3 cos 80^(@)cosec 10^(@)+2sin 59^(@)sec 31^(@)

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

Evaluate : (sin 35^(@) cos 55^(@) + cos 35^(@) sin 55^(@))/ (cosec^(2) 10^(@) - tan^(2) 80^(@))

Evaluate : (sin 80^(@))/(cos 10^(@))+sin 59^(@)sec 31^(@)

Evaluate : (sec 42^(@))/( cosec 48^(@)) + ( 3 tan 50 ^(@))/( cot 40 ^(@)) - ( 2 cos 43 ^(@))/( sin 47^(@))

Find x, if : sin 47 ^(@) sec 43 ^(@) + cos 43 ^(@) cosec 47 ^(@) - x cos ^(2) 45 ^(@) = 0.

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ICSE-TRIGONOMETRICAL IDENTITIES-EXERCISE 21 (E)
  1. Evaluate sin 27 ^(@) sin 63 ^(@) - cos 63^(@) cos 27 ^(@)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Prove that : sqrt (sec^(2) A + cosec^(2) A) = tan A + cot A

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  20. Prove that : (sin A + cos A) (sec A + cosec A) = 2 + sec A cosec A

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