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`tan 53^(@) 38'`

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y-x curve at an instant for a wave travelling along x- axis on a string is shown. Slope at the point A on the curve, as shown, is tan 53^(@) .

y-x curve at an instant for a wave travelling along x- axis on a string is shown. Slope at the point A on the curve, as shown, is tan 53^(@) .

6costheta+8sintheta=9 , when tan53^(@)8^(')=4/3 and cos25^(@)50^(')=9/10

Find the complement of each of the following angles 53^(@) 24'32''

Evaluate: (2tan 53^(@))/(cot 37^(@))-(cot 80^(@))/(tan 10^(@))

Evaluate: (2tan 53^(@))/(cot 37^(@))-(cot 80^(@))/(tan 10^(@))

Evaluate without using trigonometric tables : tan 20^(@) tan 40^(@) tan 50^(@) tan 70^(@)

Evaluate without using trigonometric tables : tan 20.tan 40^(@) tan 50^(@) tan 70^(@)

Given that tan A = (1)/(5). find the values of tan 2 A, tan 4A and tan (45 ^(@) - 4A).

Find (in each case, given below) the value of x, if : tan x = (tan 60^(@) - tan 30^(@))/(1 + tan 60^(@) tan 30^(@))

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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