For the unit circle triangle, use the arcsin and arccos functions as required to determine θ to two decimal places, then use this 2-place decimal θ and the sin or cos function to determine x or y to 2 decimal places. For this chart, all the y values are positive, so all the values for θ<180∘. However, some x values are negative (lower triangle). When x is negative, θ>90∘. Take care to read the sign of x. Your calculator will give you the wrong answer for the 4th  problem. You will need to calculate the mirror image of the angle. Draw a sketch to help you.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 4: For the unit circle triangle, use the arcsin and arccos functions as required to determine θ to two decimal places, then use this 2-place decimal θ and the sin or cos function to determine x or y to 2 decimal places. For this chart, all the y values are positive, so all the values for θ<180∘. However, some x values are negative (lower triangle). When x is negative, θ>90∘. Take care to read the sign of x. Your calculator will give you the wrong answer for the 4th  problem. You will need to calculate the mirror image of the angle. Draw a sketch to help you.

у
h=1
90°
h = 1
e
X (negative)
X
90°
y
e
0
-0
X
+0.30
+0..
-0.90
-0.
+0.50
-0.70
y
+0.
+0.80
+0.:
+0.90
+0.
+0..
Transcribed Image Text:у h=1 90° h = 1 e X (negative) X 90° y e 0 -0 X +0.30 +0.. -0.90 -0. +0.50 -0.70 y +0. +0.80 +0.: +0.90 +0. +0..
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