Question

if angle A is acute and cos A=24/25 find sec(90-A)

Answer 1

hey there!!!

Given that A is acute so A € [0,90)

=> cos A = 24/25

we know that ;

sec(90 -A) = cos A [ By identities ]

so, sec(90 - A) = 24/25

_________________________________________

⭐hope it will help you

Answer 2

Answer:

Sec(90 - A) = 25/7

Solution:

cosA = 24/25

cosA = Base /Hypotenuse

Right Angle Triangle Rule

H² = P² + B²

625 = P² + 576

P² = 49

P = 7

Sec(90 - A) This First Quadrant

All are Postive

Sec(90 - A) = CosecA = H/P = 25/7