SOLUTION: What values for theta( 0 ≤ theta ≤ 2pi) satisfy the equations? 1.4cos θ + 1 = 2cos θ 2.cos θ - tanθcosθ= 0 Please help! Thanks

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Question 1014832: What values for theta( 0 ≤ theta ≤ 2pi) satisfy the equations?
1.4cos θ + 1 = 2cos θ
2.cos θ - tanθcosθ= 0
Please help! Thanks
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
What values for theta( 0 <= theta <= 2pi) satisfy the equations?
1. 4cos(theta) + 1 = 2cos(theta);
2. cos(theta) - tan(theta)cos(theta)= 0
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1.  4%2Acos%28theta%29+%2B+1 = 2%2Acos%28theta%29  --->  2%2Acos%28theta%29 = -1  --->  cos%28theta%29 = -1%2F2  --->  theta = 2pi%2F3  and/or  theta = 4pi%2F3.  

    No other solutions in the given interval.


2.  cos%28theta%29+-+tan%28theta%29cos%28theta%29 = 0  --->  tan%28theta%29 = 1  --->  theta = pi%2F4  and/or  theta = 5pi%2F4.

    No other solutions in the given interval.