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Find all solutions with 0≤θ≤π0\leq\theta\leq\pi. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas. −14cos⁡(θ)+7=0-14\cos(\theta)+7=0

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Q. Find all solutions with 0≤θ≤π0\leq\theta\leq\pi. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas. −14cos⁡(θ)+7=0-14\cos(\theta)+7=0
  1. Simplify equation for cos⁡(θ):\cos(\theta): Step 11: Simplify the equation to solve for cos⁡(θ)\cos(\theta).14cos⁡(θ)+7=014\cos(\theta) + 7 = 014cos⁡(θ)=−714\cos(\theta) = -7cos⁡(θ)=−714\cos(\theta) = \frac{-7}{14}cos⁡(θ)=−12\cos(\theta) = \frac{-1}{2}
  2. Find values of θ\theta: Step 22: Find the values of θ\theta that satisfy cos⁡(θ)=−12\cos(\theta) = -\frac{1}{2} within the interval 0≤θ≤π0\leq\theta\leq\pi.\newlinecos⁡(θ)=−12\cos(\theta) = -\frac{1}{2} at θ=2π3\theta = \frac{2\pi}{3} (in the interval 00 to π\pi)

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