how do i verify this problem?

see explanation

Step-by-step explanation:

Consider the left side

Simplify the numerator/denominator using the trigonometric identities

• tanx = and secx =

sinx + tanx = sinx + =

= ← numerator

and

1 + secx = 1 + = ← denominator

Putting this together gives

×

Cancel cosx and (1 + cosx) on numerator/ denominator, leaving

left side = sinx = right side ⇒ verified

%40

step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!