Question

If tan X = 4/3; find the value of: 4sin²X - 3Cos²X+2​

Answer 1

Step-by-step explanation:

Correct option is

B

4

Let f=4sin

2

x+3cos

2

x

⇒f=4sin

2

x+3(1−sin

2

x)

⇒f=4sin

2

x+3−3sin

2

x

⇒f=sin

2

x+3

We know that 3 is a constant and maximum value of sinx=1

Thus, the maximum value of the given expression can be

f

max

=3+(1)

2

=3+1=4