Pythagorean Theorem, Isosceles Right Triangles, Trigonometric Ratios Worksheet (Page 19 of 30) in pdf

Pythagorean Theorem, Isosceles Right Triangles, Trigonometric Ratios Worksheet Page 19

Notes Introduction to Trig

The mathematics field called Trigonometry is the study of _______ triangles and the ratios of the sides.

Each angle of a right triangle has a unique decimal value for each trigonometric ratio. Your calculator has these

tables memorized for you. Find the SINE, COSINE and TANGENT buttons on your calculator.

1) Press _____________ and make sure the ____________ selection is highlighted. Always check that your

calculator is in DEGREE mode. You are responsible to check.

2) Press the Trigonometric function you would like followed by the measure of the angle. Round to the nearest

hundredth.

Ex 1. sin 35° = _________

Ex 2. cos 18° = ________

Ex 3. tan 87° = ________

If you are given the ratio and asked for the angle, you just use the ratio backwards. Your calculator needs to be

told to do this.

Write the keys you will press and then write the angle to the nearest degree.

Ex 7.

sin

x ° =

x°= _____

Ex 8. tan

x ° =

1.875

x°= _____

Ex 9.

cos

x ° =

x°= _____

There are 3 of trigonometric relationships that we study.

Sine is the ratio of the _____________________ side to the _____________________.

Cosine is the ratio of the_____________________ side to the _____________________.

Tangent is the ratio of the _____________________ side to the _____________________ side.

The ________________________ NEVER changes, but ______________ and ____________________ are

dependent on the ________________ used. The _______________ angle is NEVER used.

The three sides of the triangles are referred to as Hypotenuse (H), Adjacent (A), and Opposite (O). Label

each side of each triangle using angle W as your reference.

Ex 1.

Ex 2.

Ex 3.

Pythagorean Theorem, Isosceles Right Triangles, Trigonometric Ratios Worksheet Page 19