I have done half but i am not able to find angle in part2?

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1 Answer
Jul 24, 2018

theta = 0^circ, -109.5^circ, 109.5^circ

Explanation:

Continuing from the factored equation

(3costheta+1)(costheta-1) = 0

Either costheta = -1/3 or costheta = 1.

Solving costheta = 1:

Remember that costheta is an even function, so cos(-theta) = costheta. Essentially, if we find theta that satisfies the equation, -theta will also satisfy it.

costheta = 1

theta = +-0^circ = 0^circ

Solving costheta = -1/3:

costheta = -1/3

theta ~~ +-109.5^circ

The three solutions to the equation are theta = 0^circ, -109.5^circ, 109.5^circ.