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raulgallerjv

raulgallerjv

Answered question

2022-05-26

Prove sec ( x ) csc ( x ) tan ( x ) cot ( x )

Answer & Explanation

ryancameron52

ryancameron52

Beginner2022-05-27Added 8 answers

HINT:
sec 2 x tan 2 x = 1 = csc 2 x cot 2 x
sec 2 x csc 2 x = tan 2 x cot 2 x
sec 2 x csc 2 x = ( sec x csc x ) ( sec x + csc x )
uznosititr

uznosititr

Beginner2022-05-28Added 3 answers

Take the right hand side:
tan ( x ) + cot ( x ) sec ( x ) + csc ( x ) = sin ( x ) cos ( x ) + cos ( x ) sin ( x ) 1 cos ( x ) + 1 sin ( x ) = sin 2 x + cos 2 x sin x + cos x = 1 sin x + cos x
and this is equal to the expression you found for the left hand side.

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