Evaluate the integrals. \int_{0}^{\frac{\pi}{2}}0\sqrt{1-\cos 20}d0

Cem Hayes 2021-10-18 Answered
Evaluate the integrals.
0π201cos20d0
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Expert Answer

comentezq
Answered 2021-10-19 Author has 106 answers
Step 1
We have to evaluate the integral 0π21cos20d0
We know that,
1cos20=2sin20
Therefore,
0π21cos20d0=0π22sin20d0
=0π22sin0d0
=20π2sin0d0
=2[cos0]0π2
=2[cosπ2+cos0]
=2[0+1]
=2
Step 2
Hence, required answer is 2.
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