# Test 3 - given: a. 3 1 sin = and is in quadrant II. b. 4...

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Test 3 Name: ______________________ Math 115-007 October 29, 2009 1. (6 points each) Solve each equation for x . a. ) 10 2 log( ) 5 log( ) log( + = + x x b. 1 2 8 2 + - + = x x 2. (6 points each) Evaluate the following angles at all six trigonometric functions a. 2 3 π = = = ) 2 3 tan( ) 2 3 cos( ) 2 3 sin( = = = ) 2 3 cot( ) 2 3 csc( ) 2 3 sec( b. 4 7 = = = ) 4 7 tan( ) 4 7 cos( ) 4 7 sin( = = = ) 4 7 cot( ) 4 7 csc( ) 4 7 sec( c. 3 = = = ) 3 tan( ) 3 cos( ) 3 sin( = = = ) 3 cot( ) 3 csc( ) 3 sec(

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Test 3 Name: ______________________ Math 115-007 October 29, 2009 3. (2 points each) By definition, what are the domain and range of the following functions? a. ) sin( ) ( x x f = b. ) arctan( ) ( x x f = c. ) arccos( ) ( x x f = d. ) csc( ) ( x arc x f = e. [On the fundamental cycle] ) cot( ) ( x x f = f. [On the fundamental cycle] ) tan( ) ( x x f = 4. (6 points each) Simplify the following trigonometric expressions. a. θ tan csc cos b. cos sin tan + 5. (6 points) The right triangle below has an angle 30 = and hypotenuse length 9. Solve the triangle.
Test 3 Name: ______________________ Math 115-007 October 29, 2009 6. (6 points each) Find all six trigonometric values of the angle

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Unformatted text preview: given: a. 3 1 sin = and is in quadrant II. b. 4 cot-= and is in quadrant IV. 7. (6 points each) Find an algebraic expression that is equivalent to the following: a. )) ( sec(arctan x b. )) ( tan(arccos x 8. (10 points) Verify the following trigonometric identity: a. 2 2 2 2 4 csc cot cos cot 1 ) ( sin +-= Test 3 Name: ______________________ Math 115-007 October 29, 2009 9. (6 points) Write the following equation in standard form, and find the listed values. 19 ) 1 4 sin( 7 ) (-+-= x x f a. Amplitude = ______ b. Period = ______ c. Frequency = ______ d. Phase Shift = ______ e. Vertical Translation = ______ f. Fundamental Cycle = ______...
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## This note was uploaded on 03/04/2012 for the course MATH 115 taught by Professor Ms.park during the Fall '09 term at South Carolina.

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Test 3 - given: a. 3 1 sin = and is in quadrant II. b. 4...

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