Mathematics

Zaria Leon

13 September, 16:04

Albert wants to show that tan (theta) sin (theta) + cos (theta) = sec (theta). He writes the following proof:

tan (theta) sin (theta) + cos (theta) = sec (theta)

sin (theta) / cos (theta) sin (theta) + cos (theta) = sec (theta) sin^2 (theta) / cos (theta) + cos (theta) = sec (theta)

What is the next step in this proof?

A.) He should write tan (theta) = sin (theta) / cos (theta) to find a common denominator.

B.) He should write cos (theta) = cos^2 (theta) / cos (theta) to find a common denominator.

C.) He should write cos (theta) = 1-sin (theta) to convert all the terms to sine.

D.) He should write sin (theta) = 1-cos (theta) to convert all the terms to cosine.