Question

if 5 sin p= 12 cos p, then find the value of sec p

Answer 1

$\frac{13}{5}$
is the answer of seca .

Answer 2

Hi ,

5sin p = 12 cos p

sin p/cos p = 12/5

tan p = 12/5 --( 1 )

sec² p = 1 + tan² p

= 1 + ( 12/5 )²

= 1 + ( 144/25 )

= ( 25 + 144 )/25

= 169/25

sec p = √ ( 13/5 )²

sec p = 13/5

I hope this helps you.

: )