Angle of tangent to curve8 of 13Review ConstantsPart AWhat angle does the tangent to the curve y(x) = sin2(x/9)12sin(x/9) at x9T makewith the -axis?Express your answer to 3 significant figures. Choose the smaller angle, i.e., your answershould be positive and less than 90 degrees.Iνα ΑΣφ76.396degreesPrevious AnswersRequest AnswerSubmitX Incorrect; Try Again; 2 attempts remaining

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Asked Oct 25, 2019
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Angle of tangent to curve
8 of 13
Review Constants
Part A
What angle does the tangent to the curve y(x) = sin2(x/9)12sin(x/9) at x
9T make
with the -axis?
Express your answer to 3 significant figures. Choose the smaller angle, i.e., your answer
should be positive and less than 90 degrees.
Iνα ΑΣφ
76.396
degrees
Previous Answers
Request Answer
Submit
X Incorrect; Try Again; 2 attempts remaining
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Angle of tangent to curve 8 of 13 Review Constants Part A What angle does the tangent to the curve y(x) = sin2(x/9)12sin(x/9) at x 9T make with the -axis? Express your answer to 3 significant figures. Choose the smaller angle, i.e., your answer should be positive and less than 90 degrees. Iνα ΑΣφ 76.396 degrees Previous Answers Request Answer Submit X Incorrect; Try Again; 2 attempts remaining

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Expert Answer

Step 1

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y(x)2sin 12 cos cos 2 - sin 12 cos Cos

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Step 2

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977 97T cos 9 12 Cos 97T y()sin 9 0_12 sin 0, cos T-1 9 3

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Step 3

Thus, the angle of the tangent cur...

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-1 tan 0 3 e=tan 3 -tan e= e=-18.435

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