Question

find other trigonometric function if cotx= 3/4,x lies in 3rd quardant​

Answer 1

Step-by-step explanation:

cotx=3/4

Now,

1+cot^2= cosec^2x

1+(3/4)^2 =cosec^2x

1+9/16= cosec^2x

cosec^2x =25/16

cosecx = +/- 5/4

Note:- Here ^2= square for the term

X is in the 3rd quadrant sinx is negative in the 3rd quadrant coax is also negative

Now,

Cosecx = -5/4

Sinx = 1/Cosecx

= -4/5

Tanx =1/Cotx

= 1/3/4

=4/3

Here Tanx = Sinx/Cosx

Now,

Cosx = Sinx/Tanx

= -4/5×3/4

= -3/5

Secx = 1/Cosx

= -5/3

So this all are the values of trigonometric function.