Finding the Angles Between 0°≤ θ ≤ 360°

Finding the Angles Between 0°≤ θ ≤ 360° with given values of sin θ, cos θ and tan θ

The value of can be found using the following steps.

1. 1. Check the sign of the trigonometry functions whether it is negative or positive.
2. 2. Find the inverse value for sine, cosine and tangent to obtain the reference angle. Do not take into account any negative sign of the reference angle.
3. 3. Determine the possible quadrant in which can be found, based on the sign (+ or –) of the value sin θ, cos θ and tan θ.
4. Find the value of θ in the right quadrant.

Example
Solve for 0°≤ θ ≤ 360°

a) sin θ = 0.6205

b) tan θ = -3.7321