Evaluate : sin 60° + cos 30° + sin 30°cos30°
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Answer :-
sin60° + cos30° + sin30° cos30° = 5√3/4.
Step-by-step explanation:
To Find :-
- Evaluate: sin60° + cos30° + sin30° cos30°
★ Solution
First solving, [sin30° cos30°],
By using the trigonometric ratio, [sin30° = 1/2] and [cos30° = √3/2],
Now, solving [sin60° + cos30°],
By using the trigonometric ratio, [sin60° = √3/2] and [cos30° = 1/2],
By simplifying, [√3 + √3/4],
Thus, sin60° + cos30° + sin30° cos30° = 5√3/4.
rsagnik437:
Amazing ! :)
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