How to find the value of sin(112 1/2) using the double or half angle formula?

Rebekah Hahn

Rebekah Hahn

Answered question

2023-03-06

How to find the value of sin ( 112 1 2 ) using the double or half angle formula?

Answer & Explanation

trackrunner92yuy

trackrunner92yuy

Beginner2023-03-07Added 3 answers

As sin ( 90 θ ) = cos θ
sin ( 90 o + ( 22 1 2 ) o ) = cos ( 22 1 2 ) o
Now as 2 cos 2 A - 1 = cos 2 A , if A = ( 22 1 2 ) o , A = 45 o
and 2 cos 2 ( 22 1 2 ) o - 1 = cos 45 o = 1 2
or 2 cos 2 ( 22 1 2 ) o = 1 + 1 2 = 2 + 1 2
and cos 2 ( 22 1 2 ) o = 2 + 1 2 2 = 2 + 2 4
cos ( 22 1 2 ) o = 2 + 2 2
Therefore sin ( 112 1 2 ) o = 2 + 2 2

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