Question

Establish the identity. 1 - sin 0 cos e + COS 0 1 - sin e = 2 sec Write the left side of the expression with a common denominator. Do not expand the numerator. cos (1 - sin o) Expand and simplify the numerator by rewriting without any parentheses. + cos20 cos (1 - sin o) Apply an appropriate Pythagorean Identity to simplify the numerator of the expression from the previous step. cos (1 - sin o) (Do not factor.) Factor the numerator and cancel out the like terms of the expression from the previous step. Do not apply any trigonometric identity es (Simplify your answers.) The fraction from the previous step then simplifies to 2 sec using what? A Even-Odd Identity B. Pythagorean Identity DC Reciprocal Identity Click to select your answers

Answer 1

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cos (1-Sino) сол + 1-sino (1-sino) + costo CORO (1-sino) 1-2sino + sinrol a costo ll coso (1-sino) 1-2 sino +( sin"+2080) coso (1-Sino) (2-2sino) CODO C1-sino) 2 (1-sino) 19 19 cose (1-sine) 2 Icoso The fraction from the previous step simplifics to a sece using reciprocal identity So, option (c) is the correct answer.