I am having trouble finding the correct answer to this

pogonofor9z

pogonofor9z

Answered question

2021-12-29

I am having trouble finding the correct answer to this question:
Find the angles between 360 and 180 such that 2sin(90x)+1=0

Answer & Explanation

SlabydouluS62

SlabydouluS62

Skilled2021-12-30Added 52 answers

cosx=12=cos45=cos(18045)
x=360m±(18045)
where m is any integer
Find m such that 360x180
Suhadolahbb

Suhadolahbb

Beginner2021-12-31Added 32 answers

Note that
2sin(90x)+1=0
Therefore,
sin(90x)=12
Taking arcsin on both sides
90x=45
x=135, 135, 225
in the interval 360x180
nick1337

nick1337

Expert2022-01-08Added 777 answers

Hint
sin(90x)=cos(x) for all x
12=cos(135) because 18045=135

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