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100 POINTS AND BRAINLIEST!! PRE CALC!

Which of the following expressions is equivalent to (cos x + tan x)/sin x

a. cot x + sec x
b. cos x + cot x
c. tan x + sec x
d. sin x + tan x

Please explain your answer :)

Respuesta :

shamon4

The answer is A

Step-by-step explanation:

The solution and explanation is pinned

Ver imagen shamon4

[tex]\\ \rm\Rrightarrow \dfrac{cosx+tanx}{sinx}[/tex]

  • Break down

[tex]\\ \rm\Rrightarrow \dfrac{cosx}{sinx}+\dfrac{tanx}{sinx}[/tex]

[tex]\\ \rm\Rrightarrow cotx+\dfrac{sinx/cosx}{sinx}[/tex]

[tex]\\ \rm\Rrightarrow cotx+\dfrac{1}{cosx}[/tex]

[tex]\\ \rm\Rrightarrow cotx+secx[/tex]

Option A