evaluate sin 60° cos 30° + cos 30 sin 60°
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Answered by
12
To evaluate:-
- sin 60° cos 30° + cos 30° sin 60°
Solution:-
Sin 60° = √3/2
Cos 30° = √3/2
Put the values,
Therefore,
Answered by
2
Answer:
1
Step-by-step explanation:
Since, sin A = cos ( 90 - A ),
sin 60° . cos 30° + cos 60° . sin 30
= sin 60° . sin ( 90° - 30° ) + cos 60° . cos ( 90° - 30° )
= sin 60° . sin 60° + cos 60° . cos 60°
= sin^2 60° . cos^2 60°
= 1
( as sin^2 A + cos^2 A = 1 )
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