Mathematics, 01.06.2021 01:40 ananyaamazing
Francesca drew point (–2, –10) on the terminal ray of angle Theta, which is in standard position. She found values for the six trigonometric functions using the steps below. Step 1 A unit circle is shown. A ray intersects point (negative 2, negative 10) in quadrant 3. Theta is the angle formed by the ray and the x-axis in quadrant 1. Step 2 r = StartRoot (negative 2) squared + (negative 10) squared EndRoot = StartRoot 104 EndRoot = 2 StartRoot 26 EndRoot Step 3 sine theta = StartFraction negative 2 Over 2 StartRoot 26 EndRoot EndFraction = Negative StartFraction 1 Over StartRoot 26 EndRoot EndFraction = Negative StartFraction StartRoot 26 EndRoot Over 26 EndFraction cosine theta = StartFraction negative 10 Over 2 StartRoot 26 EndRoot EndFraction = Negative StartFraction 5 Over StartRoot 26 EndRoot EndFraction = Negative StartFraction 5 StartRoot 26 EndRoot Over 26 EndFraction tangent theta = StartFraction negative 2 Over negative 10 EndFraction = one-fifth cosecant theta = StartFraction 1 Over sine theta EndFraction = StartStartFraction 1 OverOver StartFraction Negative StartRoot 26 EndRoot Over 26 EndFRaction EndEndFraction = StartFraction negative StartRoot 26 EndRoot Over 5 EndFraction Secant theta = StartFraction 1 Over cosine theta EndFraction = StartStartFraction 1 OverOver Negative StartFraction 5 StartRoot 26 EndRoot Over 26 EndFraction EndEndFraction = StartFraction negative StartRoot 26 EndRoot Over 5 EndFraction cotangent theta = StartFraction 1 Over tangent theta EndFraction = StartFraction 1 Over one-fifth EndFraction = 5 Which of the following explains whether all of Francesca’s work is correct?
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Francesca drew point (–2, –10) on the terminal ray of angle Theta, which is in standard position. Sh...
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