Mathematics

Mathematics

Problem

Copy and complete the following table, giving answers correct to four decimal places:
θ\thetacos⁡θ\cos \thetasin⁡θ\sin \thetacos⁡(180∘−θ)\cos(180^\circ - \theta)sin⁡(180∘−θ)\sin(180^\circ - \theta)
12∘12^\circ
25∘25^\circ
38∘38^\circ
56∘56^\circ
70∘70^\circ
85∘85^\circ
Make sure your calculator is in degrees mode. For each value of θ\theta , check that: - cos⁡2θ+sin⁡2θ=1\cos^2 \theta + \sin^2 \theta = 1 - cos⁡(180∘−θ)=−cos⁡θ\cos(180^\circ - \theta) = -\cos \theta - sin⁡(180∘−θ)=sin⁡θ\sin(180^\circ - \theta) = \sin \theta

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