Question

if sin theta=7/25 find the value of cos theta and tan theta

Answer 1

✨Hello✨

sin theta= 7/25 and we know that
sin theta= Perpendicular/ Hypotenuse

Now, cos theta= Base/ Hypotenuse.

So for finding the base we use Pythagoras Theroem:

P²+B²= H²
7²+B²= 25²
49+B²= 625
B²= 625-49
B²= 576
B= 24

Now, cos theta= 24/25

And tan theta = Perpendicular/ Base
tan theta= 7/24

Answer 2

Answer:

Step-by-step explanatio

Sin theta=7/25

We know,

sin^2 theta +cos^2 theta=1

(7/25)^2+cos ^2 theta=1

cos^2=1-(7/25)^2

Cos /2 theta=1-49/625

Cos^2 theta 625-49/625

cos^2 theta=576/625

Cos theta =24/25... (taking square root on both sides )

tan theta =sin theta /cos theta

tan theta =(7/25)/(24/25)

tan theta=7/25÷24/25

tan theta =7/25×25×4

tan theta=7/24

cos theta=24/25,

tan theta =7/24