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Math_41_Exam_3key

# Math_41_Exam_3key - Math 41 Exam 3 Name Show your work...

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Math 41 Exam 3 Name_______________________________________________________ Show your work! Answers without supporting work will receive no credit. Please circle your final answers! 1. [8] Sketch one full period of the graph of 2cos( ) y x π = + . Amplitude:____________ Period:_____________ Left Endpoint:________________ Right Endpoint:_______________ 5 Key Points:_______ ________ ________ ________ _______ 2. [8] Solve for x : a) 1 1 8 2 x x - + = b) 2 3 1 x e + = c) 3ln 15 x = d) 12 12 log ( 9) log (3 1) x x - = - 3. [4] What is the reference angle for 8 5 π - ?____________ In what quadrant does 8 5 π - fall?________________ 4. [6] Find the complement and supplement of the angle 3 π θ = . Complement____________ Supplement_____________ 5. [8] Find the exact values of the six trig functions for ( 29 8 15 , 17 17 t - =

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6. [5] From the picture, find the value of x . 7. [7] Find the value of the following inverse trig functions: a) 3 arcsin( ) 2 - b) 2 arccos( ) 2 - c) 1 tan ( 3) - d) 1 sin (1) - e) 1 tan (0) - f) 1 arccos( ) 2 g) 1 arcsin( ) 2 - 8. [6] Use the properties of logs to expand the expression 2 3 1 ln , 1, x x x - as a sum, difference, or constant multiple of logarithms. 9. [12] Give the exact value for the sine, cosine and tangent of the following angles: 11 4 sin _________ cos _________ tan _________ π θ θ θ θ = = = = 6
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Math_41_Exam_3key - Math 41 Exam 3 Name Show your work...

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