Question

Evaluate:-
sin 60° cos 30° + sin 30° cos 60°​

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Answer 1

Explanation:

Answer:

Evaluating:-

sin 60° cos 30° + sin 30° cos 60°

As we know,

sin 60° = √3/2

cos 30°= √3/2

sin 30° = 1/2

cos 60° = 1/2

SOLUTION:-

= sin 60° cos 30° + sin 30° cos 60°

= \dfrac{√3}{2}×\dfrac{√3}{2}+\dfrac{1}{2}×\dfrac{1}{2}

2

√3

×

2

√3

+

2

1

×

2

1

= \dfrac{3}{4}+\dfrac{1}{4}

4

3

+

4

1

= \dfrac{4}{4}

4

4

= 11

Hence the value of :-

Hence the value of :-sin 60° cos 30° + sin 30° cos 60° = 1

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Answer 2

Answer:

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