Answer:
- sin(θ) = √3/2
- cos(θ) = 1/2
- tan(θ) = √3
- csc(θ) = (2√3)/3
- sec(θ) = 2
- cot(θ) = (√3)/3
Step-by-step explanation:
You want the trig functions of θ in the right triangle shown.
SOH CAH TOA
This mnemonic is intended to remind you ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
Application
In this triangle, the side opposite angle θ is labeled √3. The side adjacent is labeled 1, and the hypotenuse is labeled 2. This means the trig ratios are ...
sin(θ) = √3/2
cos(θ) = 1/2
tan(θ) = √3/1 = √3
The inverse ratios are ...
csc(θ) = 1/sin(θ) = 2/√3 = (2√3)/3
sec(θ) = 1/cos(θ) = 2/1 = 2
cot(θ) = 1/tan(θ) = 1/√3 = (√3)/3
