Question

find the value of sec theta if sin theta is equal to 3 upon 5

Answer 1

as we know that

sin^2 A + cos^2 A = 1

( 3/5 )^2 + cos^2 A = 1

cos^2 A = 1 - 9/25

cos^2 A = 16/25.

cos A = 4/5

sec A = 1/cos A

= 1/4/5

= 5/4

so sec A = 5/4

Answer 2

given that , sin t = 3/5

we know ,
sin^2 t + cos^2 t = 1

then ,
(3/5)^2 + cos^2 t = 1
cos^2 t = 1 - 9/25

cos^2 t = 16/25
cos t = 4/5

so , sec t =5/4