Text of Calculating Sine, Cosine, and Tangent *adapted from Walch Education
Calculating Sine, Cosine, and Tangent *adapted from Walch
Key Terms SINE COSINE TANGENT INVERSE ACUTE ANGLE SOLVING A
TRIANGLE ADJACENT SIDE OPPOSITE SIDE HYPOTENUSE RATIO
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
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, lets find out!
First, lets 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,
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.