Respuesta :

Answer: m/sqrt(m^2)+1

Step-by-step explanation: if tan x = m, then the opposite angle is m and the adjacent angle is 1 so 1 squared plus m squared equals c squared. c = sqrt (1 + m^2)

sin x = opposite/hypotenuse = m/sqrt(m^2)+1

abidemiokin

The value of sin x in terms of m is [tex]\frac{m}{\sqrt {m^2+1}}[/tex]

Trigonometry are identities used to express the sides and angles of a triangle.

According to SOH CAH TOA,

Tan θ = Opposite/Adjacent

Given that tan x = m

Opposite  = m

Adjacent = 1

Get the hypotenuse using the pythagoras theorem

Hyp² = Opp² + Adj²

Hyp² = m²+1²

Hyp² = m²+1

Take the square root of both sides

√Hyp² =√m²+1

Hypotenuse = √m²+1

Next is to get sin x:

Sin x = Opposite/Hypotenuse

Sin x = [tex]\frac{m}{\sqrt {m^2+1}}[/tex]

Hence the value of sin x in terms of m is

[tex]\frac{m}{\sqrt {m^2+1}}[/tex]

Learn more on trigonometry ratio here: https://brainly.com/question/13729598

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