Inverse Tangent & Sinusoidal Model Problems | Trigonometry Walkthrough

Step-by-step walkthrough of trigonometry practice problems involving inverse tangent and sinusoidal models.

In this video, I solve two Precalculus trigonometry questions: finding the principal value of inverse tangent and interpreting a sinusoidal trampoline-height model to find the second time a given height is reached.

This walkthrough is useful for students learning inverse trigonometric functions, arctan range, principal values, radian measure, trig graphs, sinusoidal models, and real-world trigonometry word problems.

Questions solved in this video:
- How do you find the principal value of inverse tangent?
- How do you evaluate tan⁻¹(3.7)?
- What is the range of inverse tangent?
- Why must arctan values stay between -π/2 and π/2?
- How do you choose the correct radian value for inverse tangent?
- How do you interpret a sinusoidal model from a graph?
- How do you solve a trampoline height word problem using a trig graph?
- How do you find the second time a trampoline reaches a given height?
- How do you use a sinusoidal graph to estimate time?
- How do you round a trigonometry word-problem answer to the nearest hundredth?

Topics covered:
Precalculus trigonometry
inverse tangent
arctan
tan inverse
principal value
radian measure
range of inverse tangent
trig graphs
sinusoidal model
sinusoidal graph interpretation
trampoline height word problem
real-world trigonometry
rounding to nearest hundredth

Independent maths walkthrough by MT3 Academy. This video is not affiliated with or endorsed by Khan Academy.

Timestamps:
0:00 Find principal value of inverse tangent
0:56 Find second trampoline height time

Видео Inverse Tangent & Sinusoidal Model Problems | Trigonometry Walkthrough канала MT3 Academy