Question

Evaluate [ sin? 8-( cos? o )( sin? e ) I' for =

for 0 = 30°
The value of this expression is
ао​

Answer 1

Value of the expression = 16

Explanation:

Given expression is,

[Sin²θ - (Cosθ)(Sinθ)]⁻¹

By substituting θ = 30° in the expression,

[Sin²(30)° - (Cos²30°)(Sin²30°)]

= [(Sin30°)² - (Cos30)²(Sin²30)]

=
`[((1)/(2))^(2)-((√(3))/(2))^2((1)/(2))^2]^(-1)`

=
`[(1)/(4)-((3)/(4))((1)/(4))]^(-1)`

=
`[(1)/(4)-(3)/(16)]^(-1)`

=
`((1)/(16))^(-1)`

= 16