Question

7sin theta + 24 cos theta = 25 ,than tan theta =?​

Answer 1

7/25 sin @ + 24/25 cos @ = 1
We know that sin^2 a + cos^a = 1
So
Sin @ = 7/25
Cos @ = 24/25
Tan @ = sin@ / cos @
(7/25) / (24/25)
168/625 ans

Answer 2

Answer:

Given,

7 sin theta + 24 cos theta = 25

on dividing 25 both sides

7/25 sin theta + 24/25 cos theta = 1 - 1st eqn

We know,

sin^2 theta + cos ^2 theta = 1

sin theta * sin theta + cos theta * cos theta = 1 - 2nd

on comparing 1st and 2nd eq^n

sin theta = 7/25

cos theta = 24/25

tan theta = sin theta / cos theta

= 7/25/24/25

= 7/24