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cos θ = 1/2 and θ lies in IV quadrant. Find the value of θ. |
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Answer» cos θ = 1/2 and θ lies in IV quadrant. ⇒ cos θ = cos(\(\pi/3\)) (\(\because\,cos\,\pi/3 = 1/2\)) But θ lies in IV quadrant ⇒ cos θ = cos(2π - π/3) (\(\because\) cos(2π - θ) = cos θ) = cos (\(\frac{6\pi-\pi}3\)) ⇒ cos θ = cos(5π/3) \(\therefore\) θ = \(\frac{5\pi}3\) |
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