sarrymint123
Answered

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Simplify the expression below. Make sure to reduce all fractions.

8sec(x)/-7csc(x)

Sagot :

gam3rg1rl

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)

Answer:

- [tex]\frac{8}{7}[/tex] tanx

Step-by-step explanation:

Using the identities

secx = [tex]\frac{1}{cosx}[/tex] , cscx = [tex]\frac{1}{sinx}[/tex] , tanx = [tex]\frac{sinx}{cosx}[/tex]

Given

[tex]\frac{8secx}{-7cscx}[/tex]

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

= [tex]\frac{8\frac{sinx}{cosx} }{-7}[/tex]

= - [tex]\frac{8}{7}[/tex] tanx

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