Question: Compute the following trig ratios: a) 
b) 
c) 
| Foundations
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| 1) How is secant related to either sine or cosine?
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| 2) What quadrant is each angle in? What is the reference angle for each?
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Answer:
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| 1) Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle sec(x)={\frac {1}{cos(x)}}}
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2) a) Quadrant 2, b) Quadrant 4, c) Quadrant 3. The reference angles are:  , and 60 degrees or 
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Solution:
| Final Answer A:
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Since  , and the angle is in quadrant 2, 
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| Final Answer B:
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| The reference angle is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{\pi}{6} }
and is in the fourth quadrant. So tangent will be negative. Since the angle is 30 degees, using the 30-60-90 right triangle, we can conclude that Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tan(\frac{11\pi}{6}) = -\frac{\sqrt{3}}{3}}
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| Final Answer C:
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| Sin(-120) = - sin(120). So you can either compute sin(120) or sin(-120) = sin(240). Since the reference angle is 60 degrees, or , So Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle sin(-120)={\frac {\sqrt {3}}{2}}}
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