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More Trigonometric Identities
: Problems
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Multiple Angles and Functions
Formulae
--------------------
Double and Half-Angle Formulas
Problems
--------------------
Addition and Subtraction Formulas
Problems
--------------------
Products of Functions
Problems
--------------------
Sums and Differences of Functions
Problems
Problems
Problem 1.1:
Calculate
sin(
θ
), cos(
θ
)
, and
tan(
θ
)
if
sin(2
θ
) = 2 sin(30
o
)cos(30
o
)
.
[
Solution
]
Problem 1.2:
Calculate
cos(15
o
)
using the fact that
cos(30
o
) =
.
[
Solution
]
Problem 1.3:
θ
is in the first quadrant, and
tan(
θ
) =
. Find the sine, cosine, and tangent of
2
θ
.
[
Solution
]
Problem 1.4:
θ
is in the third quadrant, and
sin(
θ
) = -
. Find the sine, cosine, and tangent of
(
θ
)
.
[
Solution
]
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- Navigate Here -
Multiple Angles and Functions
Formulae
--------------------
Double and Half-Angle Formulas
Problems
--------------------
Addition and Subtraction Formulas
Problems
--------------------
Products of Functions
Problems
--------------------
Sums and Differences of Functions
Problems
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