Question

find tha value of tan A if

$7 {sin}^{2} a \: + 3 {cos}^{2} \: a \: = 4$
​

Answer 1

Dividing both sides of the equation by cos

2

θ we have:

7tan

2

θ+3=4sec

2

θ=4(1+tan

2

θ)

7tan

2

θ+3=4+4tan

2

θ

⇒3tan

2

θ=1

tanθ=±

3

1