Evaluating the Six Trigonometric Functions Answers
-15/8-15/178/17-15
Which value(s) are incorrect?
cosine (theta) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction , and StartFraction 3 pi Over 2 EndFraction less-than theta less-than 2 pi, evaluation sine (theta) and tangent (theta)
tangent (theta) =
-1
-8/17-15/178/17✔ 17/8
-15/17✔ -17/1517/15-17/8
Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions. sin(θ) = cos(θ) = tan(θ) = csc(θ) = sec(θ) = cot(θ) =
-15/8-15/17✔ 8/178
✔ -15/8-15/178/17-8/15
-15/8-15/17✔ -8/158/17
Which value(s) are incorrect?
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Question text not available
Use the identity
to find the value of (A).
tan
Solving the identity, tan(A) = _____.
What is cot(A)?
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Question text not available
To find the values of the six trigonometric functions for the angle θ with the terminal side passing through (5, –2), first identify the coordinates x = 5 and y = –2. Since the x-coordinate is positive and the y-coordinate is negative, the point is in Quadrant IV. Next, calculate the radius (r) using the Pythagorean theorem: r = √(5² + (–2)²) = √(25 + 4) = √29. Then apply the trigonometric definitions: sin(θ) = y/r = –2/√29 = –2√29/29 cos(θ) = x/r = 5/√29 = 5√29/29 tan(θ) = y/x = –2/5 csc(θ) = r/y = –√29/2 sec(θ) = r/x = √29/5 cot(θ) = x/y = –5/2
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