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If 0^(@) lt A, B lt 90^(@), such that co...

If `0^(@) lt A, B lt 90^(@)`, such that `cos A = 5/13, sin B = 4/5`, find `sin (A-B)`.

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The correct Answer is:
`(16)/(65)`
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AAKASH SERIES-COMPOUND ANGLES-EXERCISE - 2.1 ( VERY SHORT ANSWER QUESTIONS)
  1. Express (cos theta - sin theta) as a cosine of an angle.

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  2. If tan A = (1)/(2), tan B = (1)/(3)and A, B are acute angles then find...

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  3. If 0^(@) lt A, B lt 90^(@), such that cos A = 5/13, sin B = 4/5, find ...

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  4. Find Tan ((pi)/(4) + A) in terms of Tan A

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  5. Find Cot ((pi)/(4) + A) in terms of Cot A

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  6. Prove that sin ^(2) theta + sin ^(2) (theta+(pi)/(3))+ sin ^(2) (theta...

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  7. Prove that (cos9^(@)+sin9^(@))/(cos9^(@)-sin9^(@))=cot36^(@)

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  8. If tan theta = (cos 11^(@)+sin11^(@))/(cos11^(@)-sin11^(@)) and theta ...

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  9. Prove that tan70^(@)-tan20^(@)=2tan50^(@).

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  10. Find tan 20^(@) + tan40^(@) + sqrt(3)tan20^(@)tan40^(@).

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  11. Find the value of Tan10^(@) + Tan35^(@) + Tan10^(@).Tan35^(@).

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  12. Find the value of tan56^(@)-tan11^(@)-tan56^(@).tan11^(@).

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  13. Prove that Tan(theta + 135^(@)) Tan(theta-135^(@)) = - 1

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  14. Show that cos 35^(@) + cos 85^(@) + cos 155^(@) = 0

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  15. Prove that tan72^(@)=tan18^(@)+2tan54^(@).

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  16. Show that sin 750 ^(@) cos 480^(@) + cos 120 ^(@) cos 60 ^(@)=-1/2

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  17. Find the value of sin^(2) 45^(@) - sin^(2) 15^(@)

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  18. Find the value of sin^(2)82 1/2-sin^(2)22 1/2.

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  19. Find the value of cos^(2)45^(@)-sin^(2)15^(@)

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  20. Find the value of cos^(2)52(1^@)/(2) - sin^(2)22 (1^@)/2

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