Question

cos(90-teta) sin(90-teta) / cos(90-teta)​

Answer 1

Answer:

cos ( 90 - θ ) sin ( 90 - θ ) / ( cos ( 90 - θ )

⇒ sin θ cos θ / sin θ

⇒ cos θ

The value of expression will be cos θ .

Step-by-step explanation:

Use the formulas of :

sin ( 90 - θ ) = cos θ

cos ( 90 - θ ) = sin θ

Then we cancel the equal numerator and denominator and hence we get the final value as cos θ .

MORE INFO :

sin θ , cos θ are ratios of the sides of a triangle .

sin θ = ( side opposite to θ ) / ( longest side ) .

cos θ = ( side adjacent to θ ) / ( longest side )

Remember that sin²θ + cos²θ = 1 .

The other ratios are namely sec θ , cosec θ , tan θ and cot θ

sec θ = 1/cos θ

cosec θ = 1/sin θ

tan θ = sin θ / cos θ

cot θ = cos θ / sin θ