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genzmintz genzmintz
  • 01-04-2022
  • Mathematics
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trigonometric equations

2sin(theta) + 3 = 4

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DᴀʀᴋPᴀʀᴀᴅᴏx
DᴀʀᴋPᴀʀᴀᴅᴏx DᴀʀᴋPᴀʀᴀᴅᴏx
  • 01-04-2022

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) + 3 = 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) = 4 - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) = 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:\sin(x) = \frac{1}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 30 \degree \: \: or \: \: \frac{\pi}{6} \: rad[/tex]

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