Cosa/1-tana +sina/1-cota=sina+cosa

Step-by-step explanation:

cosA/(1−tanA) + sinA/(1−cotA)

cosA/(1−tanA) × cosA/cosA + sinA/(1−cotA) × sinA/sinA

cos²A/(cosA−sinA) + sin²A/(sinA−cosA)

cos²A/(cosA−sinA) − sin²A/(cosA−sinA)

(cos²A−sin²A) / (cosA−sinA)

(cosA+sinA) (cosA−sinA) / (cosA−sinA)

cosA+sinA

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.