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tatyana61 [14]
3 years ago
6

If tan x = m, what is sin x in terms of m?​

Mathematics
1 answer:
zubka84 [21]3 years ago
5 0

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

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<h2><em><u>Answ</u></em><em><u>er</u></em><em><u>:</u></em><em><u>-</u></em></h2>

<h3>1.) 3x + 2 = 15</h3>

➪ 3x = 15 - 2

➪ 3x = 13

★ \large\pink{x = \sf{\dfrac{13}{3}}}

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<h3>2.) 5x - 8 = 52</h3>

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➪ 5x = 60

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★ \large\pink{x = 12}

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<h3>3.) 2(x+1) = 14</h3>

➪ 2x + 2 = 14

➪ 2x = 14 - 2

➪ 2x = 12

➪ x = \sf\dfrac{12}{2}

★ \large\pink{x = 6}

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➪ \sf\dfrac{1}{4} \times x = 6

➪ \sf 1 \times x = 6 \times 4

★ \large\pink{x = 24}

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★ \large\pink{y = \dfrac{1}{10}}

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