Question

if sin theta is equals to 4/5 , find 4tan theta -5cos theta /sec theta +4cot theta​

Answer 1

Answer:

1/2

Step-by-step explanation:

sin theta= 4/5

4tan theta -5cos theta /sec theta +4cot theta=?

so sin theta=4/5

and we know that

(sin theta)²+ (cos theta)² = 1

cos (theta) =√1- (sin theta)²

cos (theta) = √1-(4/5)²

cos (theta) = 3/5

tan theta= sin theta/cos theta

tan theta= (4÷5)/(3÷5)

tan (theta) =4/5×5/3

tan (theta) =4/3

4×(4÷3)-5×(3÷5)/(5÷3)+4(3÷4)

after simplification we get

1/2