Simplify the trigonometric expression

Question

asked May 18, 2019 65.3k views

1 Answer

Ravi Soni · Answer 1 · 2019-05-23T20:09:16+0000

Answer:

D

Explanation:

The common multiple is (1 + sin(theta)) * (1 - sin(theta) )

Left fraction

Multiply top and bottom of the fraction by 1 - sin(theta)

$(1 - sin(\theta))/((1 - sin(\theta) ) * (1 + sin(\theta) ))$

$( 1 - sin(\theta))/(cos^2(\theta))$

Right Fraction

By the same method the right fraction gives.

$( 1 + sin(\theta))/(cos^2(\theta))$

Combine Left and Right Fractions.

$(1 - sin(\theta) + 1 + sin(\theta))/(cos^2(\theta))$

Answer:

$(2)/(cos^2(\theta))$

The actual answer out of those given is 2*sec^2(theta) which is D