Question

If sin A = √3/2 then ( cosec A + cot A)=?

2 points

2+√3

2√3

√2

√3

​

Answer 1

Answer:

sqrt(3)

Step-by-step explanation:

sin A = sqrt(3)/2

cos A = 1/2

Proof: cos^2 A + sin^2 A = (1/2)^2 + (sqrt(3)/2)^2 = 1/4 + 3/4 = 1. Check.

So, tan A = sin A / cos A = sqrt(3)

cot A = 1 / tan A = 1/sqrt(3)

csc A = 1 / sin A = 2 / sqrt(3)

so cosec A + cot A = 2/sqrt3 +1/sqrt3

=3/sqrt3= sqrt (3)

so answer is

$\sqrt{3}$

i hope the solution was helpful to u guys .......

thnak you