Question

4 sin theta + 3 cos theta equals to 5 then tan theta equals to​

Answer 1

answer

-4/3

I hope this may help you

Answer 2

$Tan \theta = \frac{1}{2}$

Step-by-step explanation:

Given :$4 sin \theta + 3 cos \theta = 5$

To Find : $tan \theta$

Solution :

$4 sin \theta + 3 cos \theta = 5$

Divide the whole equation by cos \theta

$4 \frac{sin \theta}{cos \theta} + 3 \frac{cos \theta}{cos \theta} = 5$

We know taht $\frac{Sin \theta }{cos \theta}= tan \theta$

$4 tan \theta +3 = 5$

$4 tan \theta = 2$

$Tan \theta = \frac{2}{4}=\frac{1}{2}$

Hence $Tan \theta = \frac{1}{2}$

#Learn more :

If tan theta is equal to 3 by 4 then find 5 sin theta minus 3 cos theta by 5 sin theta + 3 cos theta

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