evaluate sin30 +cos30
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The value of sin30 + cos30 is (1+√3)/2.
Given,
A trigonometric expression sin30 + cos 30.
To Find,
The value of the given expression.
Solution,
The given expression is
sin30 + cos30
Now, we know the value of sin30
sin30 = 1/2
Also,
sin²30+cos²30= 1
So,
(1/2)²+cos²30 = 1
cos30 =√(1-1/4)
cos30 = √3/2
Now, substituting the values
sin30 + cos30 = 1/2+√3/2 = (1+√3)/2
Hence, the value of sin30 + cos30 is (1+√3)/2.
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