I was doing some revision and I bumped into this question. cos ⁡ ( x...

dream13rxs

dream13rxs

Answered

2022-07-14

I was doing some revision and I bumped into this question.
cos ( x ) sec ( x ) = 0, 0 x 360

Answer & Explanation

Bruno Dixon

Bruno Dixon

Expert

2022-07-15Added 14 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
Logan Wyatt

Logan Wyatt

Expert

2022-07-16Added 5 answers

Starting from c o s 2 ( x ) 1 c o s ( x ) = 0 which implies s i n 2 ( x ) c o s ( x ) = t a n ( x ) . s i n ( x ) = 0 so these are 0 at 0,180,360 . Thus the answer is 0,180,360

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