Warm – up: Find the missing measures. Write all answers in radical form. 45° x w 7 60° 30° 10 y z

The Trigonometric Functions we will be looking at SINE COSINE TANGENT

The Trigonometric Functions SINE COSINE TANGENT

SINE Pronounced “sign”

Pronounced “co-sign” COSINE

Pronounced “tan-gent” TANGENT

Pronounced “theta” Greek Letter  Represents an unknown angle

opposite hypotenuse adjacent hypotenuse opposite adjacent

We need a way to remember all of these ratios…

Some Old Hag Came Around Here Taking Our Apples

Finding sin, cos, and tan

SOHCAHTOA

Find the sine, the cosine, and the tangent of angle A. Give a fraction and decimal answer (round to 4 places) A

Find the values of the three trigonometric functions of . 4 3 ? Pythagorean Theorem: (3)² + (4)² = c² 5 = c 5

Find the sine, the cosine, and the tangent of angle A A B Give a fraction and decimal answer (round to 4 decimal places).

Finding a side

A surveyor is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as 71.5°. How tall is the tree? ° ? tan 71.5° y = 50 (tan 71.5°) y = 50 ( ) Ex.

A person is 200 yards from a river. Rather than walk directly to the river, the person walks along a straight path to the river’s edge at a 60° angle. How far must the person walk to reach the river’s edge? 200 x Ex. 5 60° cos 60° x (cos 60°) = 200 x X = 400 yards