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Find cos (x - y), given that cos x = -(4...

Find cos (x - y), given that cos x = -`(4)/(5)` with `pi lt x lt (3pi)/(2)` and sin y = - `(24)/(25)` with `pi lt y lt (3pi)/(2)`.

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The correct Answer is:
`(4)/(5)`
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SURA PUBLICATION-TRIGONOMETRY-EXERCISE 3.4
  1. If sin A = (3)/(5) and cos B = (9)/(41), 0 lt A lt (pi)/(2), 0 lt B lt...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Show that tan 75^(@) + cot 75^(@) = 4

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  19. Prove that cos (A + B) cos C - cos (B + C) cos A = sin B sin (C - A)

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  20. Prove that sin (n + 1)theta sin (n - 1) theta + cos (n + 1)theta cos (...

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