Question

3 cos theta = 4 sin theta then tan theta =​

Answer 1

Answer:

Step-by-step explanation:

$\frac{sin theta}{cos theta}$ = 4/3

$\frac{sin theta}{cos theta}$ = tan theta

Therefore tan theta = 4/3

Answer 2

Tan \theta = \frac{1}{2}Tanθ=21

Step-by-step explanation:

Given :4 sin \theta + 3 cos \theta = 54sinθ+3cosθ=5

To Find : tan \thetatanθ

Solution :

4 sin \theta + 3 cos \theta = 54sinθ+3cosθ=5

Divide the whole equation by cos \theta

4 \frac{sin \theta}{cos \theta} + 3 \frac{cos \theta}{cos \theta} = 54cosθsinθ+3cosθcosθ=5

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

4 tan \theta +3 = 54tanθ+3=5

4 tan \theta = 24tanθ=2

Tan \theta = \frac{2}{4}=\frac{1}{2}Tanθ=42=21

Hence Tan \theta = \frac{1}{2}Tanθ=21

#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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