Find \theta, if -360^\circ<\theta<0^\circ and \cos(\theta)=-\frac

Lewis Harvey

Lewis Harvey

Answered question

2021-08-18

Find θ, if 360<θ<0 and cos(θ)=32 and θ in Quadrant 3.

Answer & Explanation

curwyrm

curwyrm

Skilled2021-08-19Added 87 answers

Here given as
cos(θ)=32 where, 360θ0
And θ lies in Quadrant 3
Since
cos30=32
Then cosθ=32
cosθ=cos30
cosθ=cos(180+30)
cosθ=cos210
But
360θ0
Then use the formula of trigonometry
cos(θ)=cosθ
Thus
cosθ=cos210
cosθ=cos(210)
⇒=210
Therefore, the required value of thita is 210 degree

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