Question

If 4 tan θ = 3, evaluate

Answer 1

Step-by-step explanation:

4 tan θ = 3

tan θ = 3/4

So, sin θ = 3/5 and cos θ = 4/5

Now, putting value

[4(3/5) - (4/5) + 1] / [4(3/5) + (4/5) - 1]

= 13/11

Answer 2

Answer:

we can solve this type of question by putting

$\tan\theta \: = \frac{P }{B}$

it gives that perpendicular is equals to 3k and base is equals to 4k now using Pythagoras Theorem we can also find the hypotenuse which is equals to 5k.

Now using these perpendicular, base and hypotenuse we can find easily any trigonometric ratio.

As the required question contain sinθ and cosθ.

so we can find sinθ and Cosθ using

$sinθ = \frac{P }{ H } \\ and \\ cos \theta = \frac{ B}{ H }$

After putting these values in question we can easily calculate the required value as shown in attachment .