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Simplify to a single trig function with no denominator.

cos theta*sec theta
Answer:

theta

Simplify to a single trig function with no denominator.\newlinecosθsecθ \cos \theta \cdot \sec \theta \newlineAnswer:

Full solution

Q. Simplify to a single trig function with no denominator.\newlinecosθsecθ \cos \theta \cdot \sec \theta \newlineAnswer:
  1. Express as 1cos(θ)\frac{1}{\cos(\theta)}: Express sec(θ)\sec(\theta) in terms of cos(θ)\cos(\theta) as sec(θ)=1cos(θ)\sec(\theta) = \frac{1}{\cos(\theta)}.
  2. Substitute in expression: Substitute sec(θ)\sec(\theta) with 1cos(θ)\frac{1}{\cos(\theta)} in the given expression to get cos(θ)(1cos(θ))\cos(\theta)\cdot\left(\frac{1}{\cos(\theta)}\right).
  3. Simplify to 11: Simplify cos(θ)(1/cos(θ))\cos(\theta)\cdot(1/\cos(\theta)) to get 11, since cos(θ)\cos(\theta) in the numerator and denominator cancel each other out.

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