Question

if 3 tan x is equal to 4 then find the value of sin x + cos x is​

Answer 1

Concept

Trigonometric ratios are the relationship  of sides of a right angled triangle. Sin x is ratio of perpendicular and hypotenuse. Cos x is ratio of base and hypotenuse. Tan x is that the ratio of perpendicular and base. Secant x is that the inverse of cos x. Cosecant x is inverse of sin x. Cot x is that the inverse of tangent x.

Given

3tan x=4

To find

sin x+ cos x

Explanation

we have been given 3tan x=4

we know that tan x=sin x/cos x

3tanx=4

tan x=4/3

sin x/cos x=4/3

from above we'll derive that sin x=4 and cos x=3

sin x+ cos x=4+3

=7

Hence if 3 tan x=4 then sin x+ cos x=7.

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Answer 2

Answer:

The correct answer to this question is $7$

Step-by-step explanation:

Given - $3 tan$ $x$ is equal to $4$

To Find - find the value of $sin$ $x$ $+$ $cos$ $x$.

According to the question -

$3 tan x = 4$

so, $tanx = \frac{4}{3}$

Now, $tanx = \frac{sinx}{cosx}$

Now, comparing the equations,

$sin x = 4 , cos x = 3$

So, $sinx + cosx = 4 + 3 = 7$

So, the answer is $7$

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