Question

17.2 defining and evaluating the basic trigonometric functions answer key

Answer 1

An example of basic trigonometric functions question is find tan $\frac{11\pi }{4}$.

What are trigonometric functions?

The term trigonometric function is known to be made up of functions such as sine (sin), cosine (cos), tangent (tan), etc., that stands for the ratios of sides of all right triangles.

To solve for tan $\frac{11\pi }{4}$

It will be  $\frac{11\pi }{4}$ = 2$\pi$ + $\frac{3\pi }{4}$

θ = $\pi -\frac{3}{4} \pi$

θ = $\frac{\pi }{4}$

To know the right angle,

 θ = $\frac{\pi }{4}$ x 180/4 = 45⁰

tan θ = 1

Therefore,  tan $\frac{11\pi }{4}$ = -1

Learn more about trigonometric functions from

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