Calculating Sine, Cosine, and Tangent *adapted from Walch Education.

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Objective - To use basic trigonometry to solve right triangles.

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Presentation transcript:

Calculating Sine, Cosine, and Tangent *adapted from Walch Education

Key Terms  SINE  COSINE  TANGENT  INVERSE  ACUTE ANGLE  SOLVING A TRIANGLE  ADJACENT SIDE  OPPOSITE SIDE  HYPOTENUSE  RATIO

Memory, refreshed

Given an acute angle of a right triangle and the measure of one of its side lengths, we can use sine, cosine, or tangent to find another side. AND… WAIT FOR IT… What can we do with our trigonometric ratios?

Given two sides of the right triangle, we can use the inverses of these trigonometric functions (sin –1, cos –1, and tan –1 ) to find the acute angle measures TADAAAAAAA

Example : A trucker drives 1,027 feet up a hill that has a constant slope. When the trucker reaches the top of the hill, he has traveled a horizontal distance of 990 feet. At what angle did the trucker drive to reach the top? Round your answer to the nearest degree. HOW? Well, let’s find out!

First, let’s sketch it out.

 COSINE, since it is the trigonometric function that uses the adjacent side and the hypotenuse  Now I can determine which trig ratio to use… you guessed it,

CALCULATOR TIME!

 Solve the right triangle. Round sides to the nearest thousandth. Your turn Solving the right triangle means to find all the missing angle measures and all the missing side lengths.

 Thanks for watching  ~ Ms. Dambreville GOOD LUCK