Question

Find all solutions to the following equation without a calculator: 2secx+2tanx=2. Step by Step

Answer 1

Answer:

At every 360°

EG. -360, 0, 360...

Step-by-step explanation:

SEE ATTACHMENT

Simplify the equation by dividing by 2.

Convert the equation so both terms have the same denominator - cos(x).

Multiply both sides by cos(x).

Looking at the graphs, where the top one is y = sin(x) and the bottom is y = cos(x), you can see that at every 360°, 1 + sin(x) = cos(x)

EG

1 + sin(-360) = cos(-360)

1 + 0 = 1