Trigonometric Identities Worksheet With Answers Page 16
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2513-1 Trigonometric Identities
c. yes
d.
2
2
2
Plug in sec
x – 1 for Y1 and sin
x sec
x for Y2 in a graphing calculator and form a table.
2
2
2
From the table, the values of sec
x – 1 and sin
x sec
x are the same. Therefore, the equation
is an identity.
37. SKIING A skier of mass m descends a θ-degree hill at a constant speed. When Newton’s laws are applied to the
situation, the following system of equations is produced:
and
, where g is the
acceleration due to gravity,
is the normal force exerted on the skier, and
is the coefficient of friction. Use the
system to define
as a function of θ.
SOLUTION:
Substitute
for F
and solve for
.
n
Simplify each Expression.
38.
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SOLUTION:
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