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Sec 330° + cot 480° ?
Anonymous
Mar 16, 2024
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#mathematics
#trigonometry
Sec 330° + cot 480° ?
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Mar 16, 2024
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To find the value of sec 330° + cot 480°, we first need to determine the values of sec 330° and cot 480°.
Secant is the reciprocal of cosine, so sec 330° = 1/cos 330°.
Cos 330° = cos(360° - 30°) = cos 30° = √3/2.
Therefore, sec 330° = 1/(√3/2) = 2/√3 = 2√3/3.
Cotangent is the reciprocal of tangent, so cot 480° = 1/tan 480°.
Tan 480° = tan(480° - 360°) = tan 120° = -√3.
Therefore, cot 480° = 1/(-√3) = -√3/3.
Now, we can find the sum of sec 330° and cot 480°:
sec 330° + cot 480° = 2√3/3 - √3/3 = (2√3 - √3)/3 = √3/3.
Therefore, sec 330° + cot 480° = √3/3.
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Anonymous
Mar 16, 2024
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√3÷3
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Natoli Wariyo
Jun 4, 2024
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Hhh
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