Question

solve 4 sin²x + 6 cos² x=5 ​

Answer 1

Answer:

Given that

4cos

2

x+6sin

2

x=5

This can be written as

⇒4cos

2

x+4sin

2

x+2sin

2

x=5

⇒4(cos

2

x+sin

2

x)+2sin

2

x=5

⇒4+2sin

2

x=5

⇒2sin

2

x=1

⇒sin

2

x=

2

1

⇒sinx=

2

1

⇒x=45

0