1.

cos θ = 1/2 and θ lies in IV quadrant. Find the value of θ.

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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