Question

find the value of x:
xsec^2 45-cot^2 60=xsin^2 60

Answer 1

4/15

Step-by-step explanation:

xsec^2 45-cot^2 60=xsin^2 60

x (√2)² - (1/√3)² = x (√3/2)²

2x - 1/3 = 3x/4

$2x - \frac{3x}{4} = \frac{1}{3}$

$\frac{8x - 3x}{4} = \frac{1}{3}$

5x /4 = 1/3

$5x = \frac{4}{3}$

x = 4/3×5

x = 4/15