Arithmetic Formulas Examples And Worksheet With Answer Key - Dr. Neal, Wku Page 5
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6Dr. Neal, WKU
Exercises
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1. Suppose sec(A) = !
with A in Quad II, and cot(B) =
with B in Quad III.
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Draw the information on right triangles. Then find the exact values of
(a) sin(A + B) and sin(A ! B)
(b) cos(A + B) and cos(A ! B)
!
A
$
!
A
$
(c) sin(2B) and cos(2B)
(d) sin
& and cos
#
#
&
"
%
"
%
2
2
(e) Explain what quadrants the angles A + B , A ! B , 2B , and A / 2 are in.
2. Use the sum/addition formulas to find the exact values of
(a) sin 105º
(
)
and cos 105º
(
)
(b) sin 165º
(
)
and cos 165º
(
)
(c) sin 255º
and cos 255º
(d) sin 345º
and cos 345º
(
)
(
)
(
)
(
)
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