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

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`sin 36^(@) 51'`

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Value of (4\ sin 9^@ sin 21^@ sin 39^@ sin 51^@ sin 69^@ sin 81^@)/(sin 54^@) is equal to

Value of (2sin9^(@)sin 21^(@)sin 39^(@)sin 51^(@)cos21^(@)sin 81^(@))/(sin54^(@)) is equal to:-

If sin36^(@)=p , then find sin 54^(@) in terms of p.

Prove that sin 36 ^(@) + cos 36 ^(@) = sqrt2 cos 9^(@).

Prove that sin 36^(@) + cos 36^(@) = sqrt(2) cos 9^(@)

Prove that : cos 36 ^(@) - sin 18^(@) = (1)/(2).

Evaluate the following: (i) sin39^0-cos51^0 (ii) cos e c25^0-sec65^0 +cot34^0-tan56^0 (iii) (sin36^0)/(cos54^0)-(sin54^0)/(cos36^0) +cos^2 13^0-sin^2 77^0

Find the mean of 43, 51, 50, 57 and 54.

sin 36^(º)sin 72^(º) sin108^(º) sin 144^(º) =

3 cos 72 ^(@) -4 sin ^(3) 18^(@) = cos 36 ^(@).

ICSE-TRIGONOMETRICAL IDENTITIES-QUESTIONS
  1. Prove that : (1 + cot A)^(2) + (1 - cot A)^(2) = 2 cosec^(2) A

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find 0, if sin 0 = 0.5798

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  20. Use tables to find, 0 if : tan 0 = 0.8516

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