Question

Find the value of sin , if sec √6.

Answer 1

Answer:

Step-by-step explanation:

Assuming you know the inter-relationship between the trigonometric ratios

If sin (x) is positive and sec (x) is also positive, then all 6 ratios are positive

Since sec(x) = 2, cos (x) = 1/2

sin2(x) = 1 - cos2(x) = 1 - (1/2)2 = 3/4, therefore sin (x) = sqrt(3)/2

csc (x) = 2/sqrt(3)

tan (x) = sin (x)/cos (x) = sqrt(3)

cot (x) = 1/sqrt(3)