Question

If (m + 2)sin + (2m – 1)cos = 2m + 1, then tanA = ?​

Answer 1

Answer:

tan A = $\frac{4}{3}$

m sinx + 2sinx + 2m cosx - cos x = 2m+1

(sinx + 2cosx)m + (2sinx - cosx) = 2m+1

If these are identical, then

sinx + 2cosx = 2

2sinx - cosx = 1

sinx = 4/5

cosx = 3/5

tanx = 4/3