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Math 162 Test 2 Practice Problems A Find the amplitude, period, and phase shift and sketch the graph of the following functions. y = - 3sin ( 2 1 x + 2) y = cos (3(x - 2)) y = 4sin ( x - π ) y = 2sin ( 3 1 x) y = cos (2x - 3) y = sin ( x + π ) Solve the following right triangles for the given angle or side. 2.5 r .3rads 60 o x 25 15 a 50 o A 25 foot ladder leans against a wall, making an angle 75o^ with the level ground. How high up the wall is the top of the ladder. Sketch the angles in standard position that have the following measures. -250o^ 5π/2rads 150 o Convert the following degree measure to radian measure. 160 o^225 o^150 o^ - 50o
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Convert the following radian measure to degree measure 3π 1.5π 3π/2 5 Give three different measures of one angle in standard position. If cos(α) = -2/7 and α is in the second quadrant, find sin(α)=) = -2/7 and α) = -2/7 and α is in the second quadrant, find sin(α)= is in the second quadrant, find sin(α) = -2/7 and α is in the second quadrant, find sin(α)=)= If sin(α) = -2/7 and α is in the second quadrant, find sin(α)=) = -3/4 and tan(α) = -2/7 and α is in the second quadrant, find sin(α)=) >0, find tan(α) = -2/7 and α is in the second quadrant, find sin(α)=)= If sin(α) = -2/7 and α is in the second quadrant, find sin(α)=) = 4/7 and α) = -2/7 and α is in the second quadrant, find sin(α)= is in quadrant two, find sec(α) = -2/7 and α is in the second quadrant, find sin(α)=)= In problems 6-8, find the value of the function: cot(55o) = sec(- 2.22) = cos(-3.5) = csc (π/5) = cot(150o) = tan(-60o) = sin( 225o) = csc(7π/6) = tan(-60o) = sin(5π/6) = Given triangle ABC, find the indicated side or angle in the following questions.
- C = 120o, a = 8, b = 10, Find angle B.
- A = 2rads, a = 46, b = 34, find side c.
- A = 150o, b = 35, c = 40, find side a.
- B = 60, a = 10, b = 15, find angle A
- A = 42o, B = 75o, a = 14, find side b.
- a = 5, b = 6, c = 7, find angle A.
- A = 30o, a = 8, b = 12, find angle B.
- A triangular garden plot has sides of length 35 meters, 40 meters, and 60 meters. Find the largest angle of the triangle
