MATH SOLVE

4 months ago

Q:
# Q6 Q17.) Use the given information to find the exact value of each of the following.

Accepted Solution

A:

sinθ = -5/13 and θ lies in Q III

recognizing 5 n 13 are part of Pythagorean triple: 5, 12, 13

cosθ = -12/13

tanθ = 5/12

sin2θ = 2sinθcosθ = 2*(-5/13)*(-12/13) = 120/169

cos2θ = 1 - 2(sinθ)^2 = 1 - 2(-5/13)^2 = 1 - 50/169 = 119/169

tan2θ = sin2θ / cos2θ = 120/119 = 1 1/119

recognizing 5 n 13 are part of Pythagorean triple: 5, 12, 13

cosθ = -12/13

tanθ = 5/12

sin2θ = 2sinθcosθ = 2*(-5/13)*(-12/13) = 120/169

cos2θ = 1 - 2(sinθ)^2 = 1 - 2(-5/13)^2 = 1 - 50/169 = 119/169

tan2θ = sin2θ / cos2θ = 120/119 = 1 1/119