Question

If 5 tanA-4=0 then the value of (5SinA-4CosA)/(5 SinA+4CosA) *

5/3

5/6

0

1/6

​

Answer 1

Correct Question :

If 5 tanA - 4 = 0 , then find the value of ( 5sinA - 4cosA )/( 5sinA + 4cosA )

a. 5/3

b. 5/6

c. 0

d. 1/6

Solution :

5 tan A - 4 = 0

➠ 5 tan A = 4

➠ tan A = ⁴/₅

➠ $\sf \dfrac{sin\ A}{cos\ A}=\dfrac{4}{5}$

➠ 5 sin A = 4 cos A

Let's come to our required ,

$\to \sf \dfrac{5\ sin\ A-4\ cos\ A}{5\ sin\ A+4\ cos\ A}$

• 5 sin A = 4 cos A

$\to \sf \dfrac{(4\ cos\ A)-4\ cos\ A}{(4\ cos\ A)+4\ cos\ A}$

$\to \sf \dfrac{0}{8\ cos\ A}$

$\leadsto\ \; \sf 0\ \quad \pink{\bigstar}$

Option c