Question

Simplify the expression below. Make sure to reduce all fractions. 8sec(x)/-7csc(x)

Answer 1

Answer:

- $\frac{8}{7}$ tanx

Step-by-step explanation:

Using the identities

secx = $\frac{1}{cosx}$ , cscx = $\frac{1}{sinx}$ , tanx = $\frac{sinx}{cosx}$

Given

$\frac{8secx}{-7cscx}$

= $\frac{\frac{8}{cosx} }{\frac{-7}{sinx} }$ ← multiply numerator/ denominator by sinx

= $\frac{8\frac{sinx}{cosx} }{-7}$

= - $\frac{8}{7}$ tanx

Answer 2

Answer:

16/7sin(2x)

Step-by-step explanation:

-8×1/cos(x)×⅐×1/sin(x)

-8/7cos(x)sin(x)

-8/⁷/²×sin(2x)

-8/7sin(2x)/2

16/7sin(2x)