Question

If 3 sin x + 4 cos x = 5, find the value of tan x.

Answer 1

$\huge\mathcal{\blue {\underline {\overline {\mid {\purple {Answer}}\mid}}}}$

3sinx + 4cosx = 5

3/5sinx + 4/5cosx = 1

Comparing it with standard equation

sinx*sinx + cosx*cosx= 1

We get cosx= 4/5, sinx = 3/5

Therefore,

tanx = sinx/cosx

= 3/5 / 4/5

= 3/4

Hope it helps✌

Answer 2

$\large\bf{\underline\orange{Answer \:↝}}$

3Sinx + 4Cosx = 5

3/5Sinx + 4/5Cosx = 1

Comparing it,

Sinx × Sinx + Cosx × Cosx= 1

We get Cosx= 4/5, Sinx = 3/5

Therefore,

Tanx = Sinx/Cosx

= 3/5 / 4/5

= 3/4