Multiply and simplify 1 tan beta2 1 tan beta2 Simplify yo

Multiply and simplify. (1 + tan beta)^2 (1 + tan beta)^2 = _(Simplify your answer.)

Solution

(1+tan beta)² = 1 + tan²beta + 2tan beta

                    = sec²beta + 2 tan beta

                    = (1/cos beta)(1/cos beta + 2sin beta)

                    = sec beta((1 + 2sin Beta cos Beta)/cos beta)

                    =sec²beta(1+sin 2beta)