Question

Verity that the equation is an identity cotx/cscx = cosx To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step cotx/cscx=

What transformation is made in the numerator? What transformation is made in the denominator? - Divide and give the unsimplified numerator and denominator COSX

Answer 1

see explanation

Explanation:

using the trigonometric identities

• cot x =
`(cosx)/(sinx)`

• csc x =
`(1)/(sinx)`

consider the left side

`(cotx)/(cscx)` ← substitute the above identities into the expression

`((cosx)/(sinx) )/((1)/(sinx) )`

=
`(cosx)/(sinx)` ×
`(sinx)/(1)` ← cancel sin x on numerator/ denominator

= cos x

= right side , thus verified