Question

If 7 sin? A + 3 cos’A = 4, show that tan A =
13​

Answer 1

Answer:

Question wrong

You'll get A as 30 degree

Thus tan 30 = 1/ root 3

Step-by-step explanation:

7 sin ^2 A  can be written as 3 sin ^ 2A + 4sin^A

 3sin^A + 4 sin^2A+ 3 cos^2A= 4

4sin^2A + 3( sin^2A + cos^2A)=4

4sin^2A  + 3 = 4                 ( SInce  sin^2A + cos^2A = 1)

4sin^2A = 4-3=1

sin^2A = 1/4

sinA = 1/2

sin 30= 1/2

Therefore A = 30 degree

Tan A = Tan 30=1/ root3