– show work – step-by-step- handwritten if possible- show everything you plug into I to your calculator since this material is most related to the calculator.
sample_quiz__3.docx
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Ch 6.1-6.2 Trigonometry
Be sure your calculator MODE is set to DEGREES and your ZOOM to 7: ZOOMTRIG
1. Using f(x) = sin(x) as the parent function, write the following functions:
a. g(x), with 5 times the difference between maximum and minimum values
g(x) =
b. h(x), with 3 times the distance between maximums
h(x) =
c. k(x), with 4.5 times the difference between maxima and minima, half the
distance between maximums, and no zeros.
k(x) =
2. Angle a has cosine of 0.866025404. Find the following:
a. Measure (in degrees) of angle a: _____________
b. sine of angle a: ____________
c. tangent of angle a: ____________
d. secant of angle a: ____________
e. cosecant of angle a: ___________
f. cotangent of angle a: ______________
3. A right triangle has legs of length 10 and 24. Find the following:
a. Length of the hypotenuse: ________________
b. Measure of the angle opposite the leg of length 10: ____________
c. Measure of the angle opposite the leg of length 24: _____________
4. Sketch an isosceles right triangle (i.e., with two equal legs), with a hypotenuse
equal to 1. Show how to use it to calculate the exact values of:
a. sin(45°) ___________
b. sec(45°) ___________
c. cot(45°) ___________
5. From the top of a 350-ft tall TV transmission tower, a guy wire anchoring it to the
ground makes an angle of depression (angle of incline) of 65°. Assuming the tower is
a straight pole at a right angle on level ground, compute:
a. How far from the tower’s base is the other end of the wire?
b. How long is the wire?
c. In addition to the 90° angle the tower makes with the ground,
what are the other two angles in the tower-wire-ground triangle?
…
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