Prove the identity cos x/1 - sin x = sec x + tan x

Proved

Step-by-step explanation:

Given

Prove that

Multiply the numerator and denominator by 1 + sinx

Combine both fractions to form 1

Expand the denominator using difference of two squares;

The expression becomes

From trigonometry;

The expression becomes

Divide the numerator and the denominator by cos x

Split fraction

From trigonometry;

So;

=

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.