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Simplify be reducing to a single term : ...

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

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The correct Answer is:
`(sqrt3)/(2)`
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ICSE-COMPOUND AND MULTIPLE ANGLES -EXERCISE 5(A)
  1. Simplify be reducing to a single term : cos 5 theta cos 2 theta - si...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Prove: tan (45^(@)+ theta ) = (1 + tan theta)/( 1- tan theta )

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  15. Prove: tan (45 ^(@) - theta ) =(1 - tan theta)/( 1 + tan theta)

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  16. (sin (theta + phi))/( sin theta cos phi) = cot theta tan phi +1.

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  17. (sin ( theta -phi))/(sin theta sin phi) = cot phi - cot theta.

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  18. Prove that (sin (A - B))/( sin A sin B ) + ( sin (B -C))/( sin B sin C...

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

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  20. Find the value of sin (alpha + beta) , cos (alpha + beta) , and tan (a...

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