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Compute tan 105^(@) from the function...

Compute
`tan 105^(@) ` from the functions of `45 ^(@) and 60^(@)`

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Verified by Experts

The correct Answer is:
`- (2 + sqrt3)`
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ICSE-COMPOUND AND MULTIPLE ANGLES -EXERCISE 5(A)
  1. Compute sin 15 ^(@) from the functions 60^(@) and 45 ^(@)

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  2. Compute cos 345 ^(@) from the functions of 300^(@) and 45 ^(@)

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  3. Compute tan 105^(@) from the functions of 45 ^(@) and 60^(@)

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  4. Compute sin 13 5 ^(@) from the functions of 180^(@) and 45 ^(@)

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  5. Compute cos 195^(@) from the functions of 15 0^(@) and 45 ^(@),

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  6. Compute cosec (13pi//12)

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  7. Simplify be reducing to a single term : sin 3 alpha cos 2 alpha + co...

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  8. Simplify be reducing to a single term : cos 5 theta cos 2 theta - si...

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  9. Simplify by reducing to a single term : sin 22 ^(@) cos 38^(@) + cos...

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  10. Simplify be reducing to a single term : sin 80^(@) cos 20^(@) - cos ...

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  11. Simplify by reducing to a single term : sin (x -y) cos x - cos (x-y)...

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  12. Simplify be reducing to a single term : cos (theta + alpha ) cos ( t...

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  13. Simplify be reducing to a single term : (tan 69^(@) + tan 66^(@))/(1...

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  14. Simplify be reducing to a single term : (tan alpha - tan ( alpha - b...

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  15. Prove that (sin alpha cos beta + cos alpha sin beta) ^(2) + (cos alpha...

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  16. sin (60^(@) + theta) - sin ( 60^(@) - theta ) = sin theta.

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  17. Prove that sin(θ+30°)+cos(θ+60°)= cos θ.

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  18. sin ( 240^(@) + theta) + cos (330^(@) + theta ) = 0

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  19. sin (A - 45 ^(@) ) = (1)/( sqrt2) (sin A - cos A)

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  20. Prove that :cos ((pi)/(3) + x) = ( cos x - sqrt3 sin x )/(2)

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