Question

E) Explain the approach you would take to verify that the following equation is an identity and why you would choose that approach. Do not actually verify that the equation is an identity.
(sin(x) + cos(x))² / sin(2x)= csc (2x) + 1
​

Answer 1

See below for the proof of the trigonometry identity

The approach to take

The identity is given as:

(sin(x) + cos(x))² / sin(2x)= csc (2x) + 1

Start by expanding the numerator

(sin²(x) + cos²(x) + sin(2x)) / sin(2x)= csc (2x) + 1

Express sin²(x) + cos²(x) as 1

(1 + sin(2x)) / sin(2x)= csc (2x) + 1

Expand the fraction

1/sin(2x) + sin(2x)/sin(2x) = csc(2x) + 1

Evaluate the quotient

csc(2x) + 1 = csc(2x) + 1

Hence, the trigonometry identity has been proved

Read more about trigonometry identity at

brainly.com/question/63577

#SPJ1