Trigonometric Identities Worksheet With Answers Page 13
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SOLUTION:
13-1 Trigonometric Identities
34. SUN The ability of an object to absorb energy is related to a factor called the emissivity e of the object. The
emissivity can be calculated by using the formula
, where W is the rate at which a person’s skin absorbs
energy from the Sun, S is the energy from the Sun in watts per square meter, A is the surface area exposed to the
Sun, and θ is the angle between the Sun’s rays and a line perpendicular to the body.
a. Solve the equation for W. Write your answer using only sin θ or cos θ.
2
b. Find W if e = 0.80, θ = 40°, A = 0.75m
, and S = 1000 W/m2. Round to the nearest hundredth.
SOLUTION:
a.
b. Substitute the values of e, θ, A and S and evaluate.
35. CCSS MODELING The map shows some of the buildings in Maria’s neighborhood that she visits on a regular
basis. The sine of the angle θ formed by the roads connecting the dance studio, the school, and Maria’s house is
.
a. What is the cosine of the angle?
b. What is the tangent of the angle?
c. What are the sine, cosine, and tangent of the angle formed by the roads connecting the piano teacher’s house, the
school, and Maria’s house?
SOLUTION:
a. Given
.
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