Question

1. If sin =4/5
what is the value of cot A+ cosec A?​

Answer 1

Answer: 2

Step-by-step explanation:

If sinA = 4/5

By Pythagorean theorem,

cosA = 3/5

=> cotA = 3/4 and cosecA = 5/4

=> cotA + cosecA = (3+5)/4 = 8/4 = 2

Answer 2

Step-by-step explanation:

If sin = 4/5,

sin A = side opposite to angle A/ Hypotenuse

side opposite to angle to angle A = 4

Hypotenuse = 5

By Pythagorean theorem , we have to find third side

P^2 + B ^2 = H ^2

P^2 = 5^2 - 4^2

P^2 = 25- 16

P^2 = 9

P = 3

Cosec A = 1/ sin A

= 1/4/5

= 5/4

Cot A = cos A / Sin A

= 3/5 /4/5

= 3/4

Substituting the value in the equation

Cot A + Cosec A

3/4 + 5/4

8/4

2

So, the value of Cot A + Cosec A = 2