Lesson: The Sine Ratio Mathematics • 11th Grade

In this lesson, we will learn how to find angles and sides in a right triangle using the sine ratio.

Lesson Plan

Students will be able to

use right triangles to find sine ratios,
use special right triangles to find the sine ratios for , , and ,
use the sine ratio to find missing lengths in right triangles,
use the inverse sine ratio to find missing angle measures in right triangles,
solve more complex problems, such as using the sine ratio or inverse sine ratio in combination with the Pythagorean theorem, simple 2D shape properties, or coordinate geometry.

Q1:

Find giving the answer to the nearest second.

Q2:

Find the measure of given that is an isosceles trapezoid, where and , giving the answer to the nearest second.

Q3:

Find the value of giving the answer in radians to two decimal places.