Question

If (5,-12) is a point on the terminal side of an angle θ, find the value of sin⁡θ, cos⁡θ, and tan⁡θ.

Answer 1

Given point (5,-12) falls into IV quadrant

The right triangle with legs of 5 and -12, and hypotenuse is:

• √5² + (-12)² = √25+144 = √169 = 13

Value of sin⁡θ, cos⁡θ, and tan⁡θ:

• sin⁡ θ = -12/13
• cos ⁡θ = 5/13
• tan⁡ θ = -12/5