. In a convex quadrilateral ABCD, there are given ||AD|| = 7(√6 – √2), ||CD|| = 33 5 $³3³, and D = 7+ arccos + arccos. The other angles of the 13 13, ||BC|| = 15, C = arccos- quadrilateral and ||AB|| are required.
. In a convex quadrilateral ABCD, there are given ||AD|| = 7(√6 – √2), ||CD|| = 33 5 $³3³, and D = 7+ arccos + arccos. The other angles of the 13 13, ||BC|| = 15, C = arccos- quadrilateral and ||AB|| are required.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please, answer with explanation
![. In a convex quadrilateral ABCD, there are given ||AD|| = 7(√6 – √2), ||CD|| =
13, ||BC|| = 15, C = arccos; 33, and D = 7+ + arccos 3. The other angles of the
5
65'
4
13
quadrilateral and ||AB|| are required.
Show that in any triangle ABC we have
b²+c².
a. 1 + cos A cos(B − C)
=
4R²
b. (b²+ c²=a²) tan A = 4S;
b+c
sin(+c).
C.
=
2c cos sin(A+B)'
B
d.
p = r (cot / + cot 2/1 + cot C2);
2
B
e. cot+cot+cot=?.
2
Let ABCD be a tetrahedron. We consider the trihedral angles which have
as edges [AB, [AE, [AD, [BA, [BC, [BD, [CA, [CB, [CD, [DA, [DB, [DC. Show that
the intersection of the interiors of these 4 trihedral angles coincides with
the interior of tetrahedron [ABCD].
If Sn is the area of the regular polygon with n sides, find:
S3, S4, S6, S8, S12, S20 in relation to R, the radius of the circle inscribed in the
polygon.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21ce175d-b543-4542-8048-dca852f2543e%2F3522515e-0493-4bbd-8bf9-029df526fce5%2Fahcm5av_processed.png&w=3840&q=75)
Transcribed Image Text:. In a convex quadrilateral ABCD, there are given ||AD|| = 7(√6 – √2), ||CD|| =
13, ||BC|| = 15, C = arccos; 33, and D = 7+ + arccos 3. The other angles of the
5
65'
4
13
quadrilateral and ||AB|| are required.
Show that in any triangle ABC we have
b²+c².
a. 1 + cos A cos(B − C)
=
4R²
b. (b²+ c²=a²) tan A = 4S;
b+c
sin(+c).
C.
=
2c cos sin(A+B)'
B
d.
p = r (cot / + cot 2/1 + cot C2);
2
B
e. cot+cot+cot=?.
2
Let ABCD be a tetrahedron. We consider the trihedral angles which have
as edges [AB, [AE, [AD, [BA, [BC, [BD, [CA, [CB, [CD, [DA, [DB, [DC. Show that
the intersection of the interiors of these 4 trihedral angles coincides with
the interior of tetrahedron [ABCD].
If Sn is the area of the regular polygon with n sides, find:
S3, S4, S6, S8, S12, S20 in relation to R, the radius of the circle inscribed in the
polygon.
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