Solve the following, where 0° < θ < 360°. If cos θ=2/3 and tan θ<0 Find θ.

Mjaskowski asked Apr 6, 2022

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41 votes

Solve the following, where 0° < θ < 360°.
If cos θ=2/3 and tan θ<0
Find θ.

Mjaskowski asked Apr 6, 2022

2.8k points

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13 votes

Answer:

The angle θ = 312°.

Explanation:

0° < θ < 360°

If cos θ = 2/3 and tan θ < 0

As cos θ is positive and tan θ is negative so the angle is in fourth quadrant.

cos θ = 2/3

θ = 312°

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