Question

Using basic trigonometric identities simplify the

following expression:
cos(0)/cot(0)+ tan(0) cos(0)

Answer 1

b

Explanation:

Using the trigonometric identities

cot x =
`(cosx)/(sinx)` and tan x =
`(sinx)/(cosx)` thus

`(cos0)/(cot0)` + tanΘ × cosΘ

=
`(cos0)/((cos0)/(sin0) )` +
`(sin0)/(cos0)` × cosΘ

= cosΘ ×
`(sin0)/(cos0)` + sinΘ

= sinΘ + sinΘ

= 2sinΘ → b