Question

find the value of cos30 + sin60/1+cos60+sin30.

Answer 1

cos 30 = root 3/2 + sin 60 root 3/2/1+ cos 60 = 1/2 + sin 30 = 1/2

Your answer is 1.18

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Answer 2

Given:

(cos30 + sin60)/(1+cos60+sin30)

To find:

The value of (cos30 + sin60)/(1+cos60+sin30)

Solution:

The required value is √3/2.

We can calculate the value by substituting the values of the given trigonometric ratios.

Using trigonometric ratios, we have

Cos 30°=Sin 60°=√3/2

Sin 30°=Cos 60°=1/2

Now, we will use these values to obtain the required term.

=(cos30 + sin60)/(1+cos60+sin30)

=(√3/2+√3/2)/(1+1/2+1/2)

=√3/(1+1)

=√3/2

Therefore, the required value is √3/2.