Transcript 10-6 Trigonometric Ratios

10-6
Trigonometric
Ratios
web2.0calc.com
SOH-CAH-TOA
SOH:
sin 𝑥 =
𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒
𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒
cos 𝑥 =
𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡
𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒
tan 𝑥 =
𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒
𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡
CAH:
TOA:
Problem 1: Finding Trigonometric Ratios
What are the sin 𝑇, cos 𝑇, and tan 𝑇?
What are the sin 𝐺, cos 𝐺, and tan 𝐺?
Problem 2: Finding a Trigonometric Ratio
What is the value of the expression?
Round to the nearest ten-thousandth.
cos 55
What is the value of the expression?
Round to the nearest ten-thousandth.
sin 80
tan 45
cos 15
Problem 3: Finding a Missing Side Length
To the nearest tenth, what is the value
of w in the triangle below?
To the nearest tenth, what is the value
of w in the triangle below?
Problem 4: Finding the Measure of Angles