Test3Trig - on the interval 0 < 2 . Hint: Note...

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Name: MAC 1114 Test 3 11/29/2007 SHOW ALL YOUR WORK. Answers without procedure will be graded zero. [5 pts] 1. Solve the following equation, finding the exact value of θ in radians, express as fractions of π on the interval 0 θ < 2 π . 3 tan 2 θ = 1 2. Solve each equation, finding the exact value of θ in radians, express as fractions of π and giving a formula for ALL solutions. [4 pts] a) sin(2 θ - π 2 ) = - 1 [4 pts] b) tan θ 2 = - 1
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3. Solve the following equations, finding the exact value of θ in radians, express as fractions of π on the interval 0 θ < 2 π . [8 pts] a) sin 2 θ = cos θ [8 pts] b) 1 + sin θ = 2 cos 2 θ [8 pts] 4. Solve the following equation, finding the exact value of θ in radians, express as fractions of π
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Unformatted text preview: on the interval 0 &lt; 2 . Hint: Note the equation is of the form a sin + b cos = c-sin + 3 cos = 1 [3 pts] 5. A security camera in a neighborhood bank is mounted on a wall 9 ft. above the oor. What angle of depression should be used if the camera is to be directed to a spot 6 ft. above the oor and 12 ft. from the wall? [5 pts] 6. An aircraft is spotted by two observers who are 1000 feet apart. As the airplane passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane. How high is the airplane? [5 pts] 7. Solve the triangle with = 30 , b = 3 and c = 4....
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Test3Trig - on the interval 0 &amp;amp;lt; 2 . Hint: Note...

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