mionihanna mionihanna
  • 20-06-2017
  • Mathematics
contestada

Is square root 1 minus sine squared theta = cos Θ true? If so, in which quadrants does angle Θ terminate?

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tiara143
tiara143 tiara143
  • 26-06-2017
[tex] sin^{2} \alpha + cos^{2} \alpha = 1 \\ \\ or \\ cos \ \alpha = \sqrt{1- sin^{2} \alpha } \\ \\ [/tex]

The sin and cosine of any angle, α is positive in first quadrant 0-90,
sine is positive in 90-180, and the cosine in fourth quadrant 270-360.

Thus, these angles follow the pattern.



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