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Trigonometry Final Exam Grade Report

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Trigonometry

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Trigonometry Final Exam - Grade Report

Score:

71% (70.6667 of 100 pts)

Submitted:

Aug 17 at 11:33am

Question: 1

Grade: 1.0 / 4.0

Simplify.

cos70°cos10°+sin70°sin10°=cos70°cos10°+sin70°sin10°= 1/2 (100%)

Solution

Use the formula for the cosine of a difference,

cos(θ1−θ2)=cosθ1cosθ2+sinθ1sinθ2cosθ1−θ2=cosθ1cosθ2+sinθ1sinθ2

where θ1=70°θ1=70° and θ2=10°θ2=10°.

cos70°cos10°+sin 70°sin10°=cos(70°−10°)=cos(60°)=cos70°cos10°+sin

70°sin10°=cos70°−10°=cos60°= 1212.

Question: 2

Grade: 1.0 / 4.0

Graph the exponential function.

f(x)=(15)xfx=15x

Choose the letter that corresponds to the correct graph.

D (100%)

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Solution

f(x)=(15)x=(5−1)x=5−xf(x)=15x=5−1x=5−x

Make a table of points.

f(x)f(x)

−1−1

1515

125125

Plot the points on a coordinate plane, and sketch the curve.

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Trigonometry Final Exam - Grade Report Score: 71% (70.6667 of 100 pts) Submitted: Aug 17 at 11:33am Question: 1 Grade: 1.0 / 4.0 Simplify. cos70°cos10°+sin70°sin10°=cos70°cos10°+sin70°sin10°= 1/2 (100%) Solution Use the formula for the cosine of a difference, cos(θ1−θ2)=cosθ1cosθ2+sinθ1sinθ2cosθ1−θ2=cosθ1cosθ2+sinθ1sinθ2 where θ1=70°θ1=70° and θ2=10°θ2=10°. cos70°cos10°+sin 70°sin10°=cos(70°−10°)=cos(60°)=cos70°cos10°+sin 70°sin10°=cos70°−10°=cos60°= 1212. Question: 2 Grade: 1.0 / 4.0 Graph the exponential function. f(x)=(15)xfx=15x Choose the letter that corresponds to the correct graph. D (100%) A. B. C. D. Solution f(x)=(15)x=(5−1)x=5−xf(x)=15x=5−1x=5−x Make a table of points. xx f(x)f(x) −1−1 55 00 11 11 1515 22 125125 Plot the points on a coordinate plane, and sketch the curve. So, the correct graph is D. Question: 3 Grade: 1.0 / 4.0 Solve. 10x−65−x=010x−65−x=0 If the answer is not an integer, enter it as a decimal rounded to the nearest hundredth, if needed. x=x=2.19 (100%) Solution Equate the powers 10x−65−x10x−65−x = 00 10x10x = 65−x65−x Take the log (or the natural log) of each side, solve for x, and then use a calculator. Take the log of each log10xlog10x = log65−xlog65−x side. xlog10xlog10 = (5−x)log6(5−x)log6 Power Property of Logs. xlog10xlog10 = 5log6−xlog65log6−xlog6 Distribute. xlog10+xlog6xlog10 = 5log65log6 +xlog6 Get the xx-terms on on ...
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Tags: trigonometry Cosine Formula rectangular equation Logarithmic Form Vertical asymptote