itssomuchtoast
itssomuchtoast itssomuchtoast
  • 17-06-2021
  • Mathematics
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Consider angle θ in Quadrant II, where cosθ=−12/13. What is the value of sinθ?

Consider angle θ in Quadrant II where cosθ1213 What is the value of sinθ class=

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princessesther2011
princessesther2011 princessesther2011
  • 17-06-2021

Answer:

The value of sin theta is 5/13

Step-by-step explanation:

In the second quadrant, sin is positive and cos is negative

Cos theta = -12/13 = adjacent/hypotenuse

Sin theta = opposite/hypotenuse

opposite = sqrt(hyp² - adj²) = sqrt (13² - 12²) = sqrt (169 - 144) = sqrt (25) = 5

Sin theta = opposite/hypotenuse = 5/13

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