Question

find values of other five trigonometric functions if sin x = 3/5, x lies in 2nd quadrant​

Answer 1

sin x=opposite side÷hypotenuse

opp side=3

hyp=5

cosx = adj side÷hypotenuse

hyp^2=opp^2+adj^2

5^2=3^2+adj^2

25=9+adj^2

adj^2=16 adj=4

cos x =4/5

tan x= sinx/cosx=3/4

cot x=inverse of tan x=4/3

sec x=inverse of cos x=5/4

cosec x=inverse of sin x=5/3

when it is in the second quadrant sin and cosec

become positive and all others are negative

answers are

sin x=3/5

cos x=-4/5

tan x=-3/4

cot x=-4/3

sec x=-5/4

cosec x=5/3