Question

If 3tan A=4,find 3sinA+4cosA

Answer 1

Answer:

$\frac{24}{5}$

Step-by-step explanation:

3tan A =4

3 sinA/cosA=4

3sinA=4cosA

so, according to the question=>

3sinA+3sinA = 6sinA

so,another equation=>

3/cotA=4

cotA= 3/4

We know that,

${cosec}^{2} \alpha - {cot}^{2} \alpha = 1$

$cosec \alpha = \frac{5}{4}$

so,sinA=1/cosecA=4/5

6sinA=24/5