Question

Prove the identity of

`4 sin^(2)x + 7sin^(2) = 4 + 3cos^(2)`
​

Answer 1

7sin

2

x+3cos

2

x=4

4sin

2

x+3sin

2

x+3cos

2

x=4

4sin

2

x+3=4

4sin

2

x=1

sin

2

x=

4

1

sinx=

2

1

or sinx=−

2

1

Explanation:

TAKING THE POSITIVE ROOT x=

6

π

tan(

6

π

)=

3

1