a. Sketch on separate sets of axes the graphs of y = cos (0 b. Verify

Question:

a. Sketch on separate sets of axes the graphs of y = cos θ (0


b. Verify that:


i. cos α = −cos (180° − α) = −cos (180° + α) = cos (360° − α)


ii. tan α = −tan (180° − α) = tan (180° + α) = −tan (360° − α)



Data from Question 16


The graph below shows y = sin θ, 0 ≤ θ ≤ 360°, with one value of θ (θ = α) marked on the axis.


Copy the graph and mark on the θ-axis the positions of 180° − α, 180° + α, and 360° − α.


Verify that: sin α = sin (180° − α) = −sin (180° + α) = −sin (360° − α).


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