Question

Let the angles of a triangle be *α*, *β*, and
*γ*, with opposite sides of length *a*, *b*,
and *c*, respectively. Use the Law of Cosines to find the
remaining side and one of the other angles. (Round your answers to
one decimal place.)

*α* = 46°; *b* =
12; *c* = 18

Answer #1

1. Let the angles of a triangle be α, β, and
γ, with opposite sides of length a, b,
and c, respectively. Use the Law of Cosines and the Law of
Sines to find the remaining parts of the triangle. (Round your
answers to one decimal place.)
α = 105°; b =
3; c = 10
a=
β= ____ °
γ= ____ °
2. Let the angles of a triangle be α,
β, and γ, with opposite sides of length
a, b,...

Let the angles of a triangle be α, β, and
γ, with opposite sides of length a, b,
and c, respectively. Use the Law of Sines to find the
remaining sides. (Round your answers to one decimal place.)
β = 99°; γ =
29°; c = 20

Assume α is opposite side a, β is opposite side b, and γ is
opposite side c. Solve the triangle, if possible. Round your
answers to the nearest tenth. (If not possible, enter IMPOSSIBLE.)
α = 60°, β = 60°, γ = 60°
a=
b=
c=

Assume α is
opposite side a, β
is opposite side b,
and γ is opposite
side c. Determine
whether there is no
triangle, one triangle,
or two triangles.
Then solve each
triangle, if possible.
Round each answer
to the nearest
tenth ?=20.5,?=35.0,?=25°

Use the Law of Cosines to find the remaining side and angles if
possible. (Round your answers to two decimal places. If an answer
does not exist, enter DNE.)
a = 8, b = 12, γ = 67.7°
c
=
α
=
°
β
=
°

If a, b, c are the sides of a triangle and A, B, C are the
opposite angles, find ∂A/∂a, ∂A/∂b, ∂A/∂c by implicit
differentiation of the Law of Cosines.

8.4 Which of the following is not true?
Choose the correct answer.
A. We verify an identity by trying to transform one side of the
identity into the exact trigonometric expression that appears on
the opposite side.
B. If one side of an identity includes a trigonometric
expression involving the sum or difference of sine and cosine or
the product of sines and/or cosines, then to verify the identity
always start by transforming the other side of the identity.
C....

Solve ΔABC. (Round your answer for b to one
decimal place. Round your answers for α and γ to
the nearest 10 minutes. If there is no solution, enter NO
SOLUTION.)
β =
72°10', c =
14.2, a = 86.6
b
=
α
=
° '
γ
=
° '

Solve for the remaining side(s) and angle(s) if possible. (Round
your answers to two decimal places. If not possible, enter
IMPOSSIBLE.)
α = 3°, a = 63, b = 100
smaller β β
=
°
γ
=
°
c
=
larger β β
=
°
γ
=
°
c
=

Find the slope of each side of the triangle and use the slopes
to find the measures of the interior angles. (Round angle measures
to one decimal place.)
A (-4,6) B- (3,4) C- (1,2)
Find the Slope of AB, AC, BC and Degree of A,B,C

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