Solve trigonometric Identities cos^2(x)+sin^2(x)=1

dripcima24

dripcima24

Answered question

2022-09-06

I bumped into this question.
cos ( x ) sec ( x ) = 0
I know it turns into
cos 2 ( x ) 1 = 0
It also equals to
sin 2 ( x ) = 0
The answer scheme gave (ans: 0 , 180 , 360 )Why are 90 , 270 unacceptable?

Answer & Explanation

Johnathon Mcmillan

Johnathon Mcmillan

Beginner2022-09-07Added 7 answers

The equation cos 2 ( x ) 1 = 0 does not have solutions at x = 90 , 270 . This is because cos ( 90 ) = 0 and cos ( 270 ) = 0. Because of the stated trigonometric identity, it follows that x = 90 , 270 are not solutions of sin 2 ( x ) = 0

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