Trigonometry Obj I can to use trigonometry to
Trigonometry Obj: I can to use trigonometry to find unknown sides and unknown angles in a triangle. Trigonometry is concerned with the connection between the sides and angles in any right angled triangle. Angle
The sides of a right -angled triangle are given special names: The hypotenuse, the opposite and the adjacent. The hypotenuse is the longest side and is always opposite the right angle. The opposite and adjacent sides refer to another angle, other than the 90 o. A A
The Trigonometric Functions we will be looking at SINE COSINE TANGENT
The Trigonometric Functions SINE COSINE TANGENT
SINE Prounounced “sign”
COSINE Prounounced “co-sign”
TANGENT Prounounced “tan-gent”
Greek Letter q Prounounced “theta” Represents an unknown angle
hypotenuse adjacent opposite
We need a way to remember all of these ratios…
Old Hippie Some Old Hippie Came A Hoppin’ Through Our Apartment
Sin Opp Hyp Cos Adj Hyp Tan Opp Old Hippie Adj SOHCAHTOA
10. 6 • Right Triangle Trigonometry
Objectives 1. Use the lengths of the sides of a right triangle to find trigonometric ratios. 2. Use trigonometric ratios to find missing parts of right triangles. 3. Use trigonometric ratios to solve applied problems.
Ratios in Right Triangles • Trigonometry means measurement of triangles. • Trigonometric Ratios: Let A represent an acute angle of a right triangle, with right angle, C, shown here.
Ratios in Right Triangles
Example 1: Becoming Familiar with The • Find the sine, cosine, and tangent of A. Trigonometric Ratios • Using the Pythagorean Theorem, find the measure of the hypotenuse c. 13 • Now apply the trigonometric ratios:
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