Trigonometry Sine Cosine Tangent Session 17 Warm up

Trigonometry Sine Cosine Tangent

Session 17 Warm – up: Find the missing measures. Write all answers in radical form. 45° 30° x 7 10 z 45° w 60° y

13. 4 & 13. 5 The Trigonometric Functions we will be looking at SINE COSINE TANGENT

13. 4 & 13. 5 The Trigonometric Functions we will be looking at SINE COSINE TANGENT

The Trigonometric Functions SINE COSINE TANGENT

SINE Prounounced “sign”

COSINE Prounounced “co-sign”

COSINE Prounounced “co-sign”

TANGENT Prounounced “tan-gent”

hypotenuse adjacent opposite

We need a way to remember all of these ratios…

Old Hippie Some Old Hippie Came A Hoppin’ Through Our Apartment

SOHCAHTOA Old Hippie Sin Opp Hyp Cos Adj Hyp Tan Opp Adj

Finding sin, cos, and tan

SOHCAHTOA 10 8 6

Finding a side

Ex. 1 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° ? tan 71. 5° 50 y = 50 (tan 71. 5°) y = 50 (2. 98868)

Ex. 2 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? cos 60° x (cos 60°) = 200 60° x x X = 400 yards