Solve. tan 1/2x=csc x-cot x

Raegan Bray

Raegan Bray

Answered question

2022-07-29

Solve.
tan 1 / 2 x = csc x cot x

Answer & Explanation

Alden Holder

Alden Holder

Beginner2022-07-30Added 15 answers

( cos 2 x ) 2 + 1 ( sin 2 x ) 2 = 2 cos 2 x
identity: cos 2 x + sin 2 x = 1 s o sin 2 x = 1 cos 2 x
( cos 2 x ) 2 + 1 ( 1 cos 2 x ) 2 = 2 cos 2 x
( cos 2 x ) 2 + 1 [ 1 2 cos 2 x + cos 4 x ] = 2 cos 2 x
cos 4 x + 1 1 + 2 cos 2 x cos 4 x = 2 cos 2 x
Cancel: 2 cos 2 x = 2 cos 2 x
Ishaan Booker

Ishaan Booker

Beginner2022-07-31Added 2 answers

cos 4 x + 1 ( 1 cos 2 x ) 2 = 2 cos 2 x , cos 4 x + 1 ( 1 + cos 4 x 2 cos 2 x ) = 2 cos 2 x

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