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If sin x = (15)/(17) and cos y = (12)/(1...

If sin x = `(15)/(17)` and cos y = `(12)/(13),0 lt x lt (pi)/(2) , 0 lt y lt (pi)/(2)`,
find the values of
sin (x + y)

Text Solution

Verified by Experts

The correct Answer is:
`(220)/(221)`
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SURA PUBLICATION-TRIGONOMETRY-EXERCISE 3.4
  1. If sin x = (15)/(17) and cos y = (12)/(13),0 lt x lt (pi)/(2) , 0 lt y...

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  2. If sin x = (15)/(17) and cos y = (12)/(13),0 lt x lt (pi)/(2) , 0 lt y...

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  3. If sin x = (15)/(17) and cos y = (12)/(13),0 lt x lt (pi)/(2) , 0 lt y...

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  4. If sin A = (3)/(5) and cos B = (9)/(41), 0 lt A lt (pi)/(2), 0 lt B lt...

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  5. If sin A = (3)/(5) and cos B = (9)/(41), 0 lt A lt (pi)/(2), 0 lt B lt...

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  6. Find cos (x - y), given that cos x = -(4)/(5) with pi lt x lt (3pi)/(2...

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  7. Find sin (x - y) given that sin x = (8)/(17) with 0lt x lt (pi)/(2) an...

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  8. Find the value of cos 105^(@)

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  9. Find the value of sin 105^(@)

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  10. Find the value of tan (7pi)/(12)

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  11. Prove that cos (30^(@) + x) = (sqrt(3) cos x - sin x)/(2)

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  12. Prove that cos (pi + theta) = - cos theta

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  13. Prove that sin (pi + theta) = - sin theta

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  14. Find a quadratic equation whose roots are sin 15^(@) and cos 15^(@)

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  15. Expand cos ( A + B + C). Hence prove that cos A cos B cos C = sin A si...

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  16. Prove that sin (45^(@) + theta) - sin (45^(@) - theta) = sqrt(2) sin...

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  17. Prove that sin (30^(@) + theta) + cos (60^(@) + theta) = cos theta

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  18. If a cos (x + y) = b cos (x - y), show that (a + b)tan x = (a - b) cot...

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  19. Prove that sin 105^(@) + cos 105^(@) = cos 45^(@)

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  20. Prove that sin 75^(@) - sin 15^(@) = cos 105^(@) + cos 15^(@)

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