Simplify sin(theta)+1/(cos(theta))

Problem

sin(θ)+1/cos(θ)

Solution

1. Identify the terms in the expression. The expression consists of a trigonometric function sin(θ) and a reciprocal trigonometric function 1/cos(θ)

2. Apply the identity for the secant function, where sec(θ)=1/cos(θ)

3. Substitute the identity back into the expression to write it in a non-fractional form.

4. Find a common denominator if a single fraction is preferred. To combine the terms, multiply sin(θ) by cos(θ)/cos(θ)

5. Combine the numerators over the common denominator cos(θ)

Final Answer

sin(θ)+1/cos(θ)=(sin(θ)*cos(θ)+1)/cos(θ)

Want more problems? Check here!