Join thousands of students who trust us to help them ace their exams!
Multiple Choice
Find the sine, cosine, and tangent of each angle using the unit circle. θ=−1.18 rad, (135,−1312)
A
sinθ=−1312,cosθ=135,tanθ=512
B
sinθ=−1312,cosθ=135,tanθ=−512
C
sinθ=1312,cosθ=135,tanθ=125
D
sinθ=135,cosθ=13−12,tanθ=125
0 Comments
Verified step by step guidance
1
Identify the coordinates of the point on the unit circle corresponding to the angle θ = -1.18 radians. From the image, the coordinates are (5/13, -12/13).
Recall that on the unit circle, the x-coordinate represents the cosine of the angle, and the y-coordinate represents the sine of the angle.
Using the coordinates (5/13, -12/13), determine that cos(θ) = 5/13 and sin(θ) = -12/13.
To find the tangent of the angle, use the formula tan(θ) = sin(θ) / cos(θ). Substitute the values: tan(θ) = (-12/13) / (5/13).
Simplify the expression for tan(θ) by dividing the numerators and denominators: tan(θ) = -12/5.