Question

If sec theta is equal to 5 by 4 then find the value of tan theta by 1 plus tan square theta

Answer 1

Step-by-step explanation:

sec a=5/4

tan a/(1+tan^2 a)=??

tan a/sec^2 a =(sin a/ cos a) (cos^2 a)

sina *cos a=3/5*4/5=12/25

tan a/(1+tan^2 a) =12/25

Answer 2

Answer:

sec theta=5/4

tan theta=?

Step-by-step explanation:

as we know that

1+tan^2 theta=sec^2theta

so,

1+tan^2theta=(5/4)^2

1+tan^2theta=25/16

tan^2theta=25/16-1

so,tan^2theta=9/16

tantheta=√9/16

tantheta=3/4