Question

11. If tan A = 7/24 find the value of (sin A+ cos A),
for an acute angle A.​

Answer 1

Answer:

sin A+cos A=31/25

Step-by-step explanation:

we have

tanA=7/24

tanA= opposite side\adjacent side

By Pythagoras Theorem,

hyp^2=opposite^2+adjacent^2

so,

hyp^2=7^2+24^2

=625

taking sq.root on both side, we get

=25

Now,

sinA=7/25

cosA=24/25

then

sinA+cosA=7/25+24/25

=31/25