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The only ideas that can be used include: area ABCI-RA2(A+B+C-lpi), the Pythagorean theorem: Cos c cos a cos b. Vectors-dot product cross product, sin A-sin a/sin c; cos A-cos a sin b/sin c; spherical law of sines, spherical law of cosines for sides and spherical law of cosines for angles Let r be the radius of the incircle of triangle ABC on the unit sphere S. If all the angles in triangle ABC are right angles, what is the exact...
I . Given triangle ABC with A = 32° , B = 105°, and b = 25 inches, find the length of side a. Round to the nearest tenth. Hint: This is not a right triangle. You'll need to use the Law of Sines or Law of Cosines to solve for the missing side. If you're not sure which, draw the triangle and see whether you have ASAAAS (Law of Sines) or SAS/SSS (Law of Cosines).
4. In triangle ABC we are given the following: a = 16 cm, b = 20 cm, ZC = 70°. (i) Use the law of cosines to calculate the value of c to the nearest hundredth of a unit of length. (ii) Use the law of sines to calculate the measure of ZA to the nearest degree. (iii) Find the measure of ZB. (iv) Determine whether the given data produce one triangle, two triangles, or no triangle at all. (v)...
Early in the class, we solved vector addition in a graphical manner. These could have been solved mathematically by using the law of sines. The law of sines states sin a/ asin b/b where you have a triangle with sides a, b and c. This will work with all triangles. For the following use the law of sines. This is not a right triangle. sin c/c Give angle C (Across from side C)_ Give the angle A (Across from side...
Do not use I=delta/S!!! Use law of cosines
Here is the question: Let r be the radius of the incircle of triangle ABC on the unit sphere S. If all the angles in triangle ABC are right angles, what is the exact value of cos r? Note in spherical geometry the angles sum is>180 Using below picture (this is what we are given), we should know angle b and the angle at the perpendicular. If we find the length on...
8. Use the law of sines to solve the triangle ABC. Round all answers to 2 decimal places. A= 65°, C = 52°, a = 8 Sides Angles A= a = b= B= C= C=
This problem refers to a right triangle ABC with C -90° as seen in the image below. Use a calculator to find sin A, cos A, sin B, cos B. Round your answer to the nearest hundredth. B a A C b a = 1, c-2 sin A - cos A = sin B cos B
The program should be in C
programming
The law of sines is an equation relating the lengths of the sides of an arbitrary triangle to the sines of its angles. Such that if we have the following triangle: sin a sin ß sin y A B C B Write a program that takes the values of angle a, angle B and length of A from a user. These input values are passed to a function find which calculates the angle...
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. a = 39, c = 41, 2A = 38° Step 1 The Law of Sines says that in triangle ABC, you have Step 2 To find the missing values for the triangle, which are B, C, and b, since you have A, a, and c, you can use the Law of Sines. Set up and solve the relation for C, using a, c, and...
1.
Let ABCDE be a regular pentagon on the unit sphere S with each side
equal to s and each angle equal to 4pi/5. Find the exact value of
cos a. Noticed that as in Euclidean geometry a regular pentagon
called a spear can be inscribed in a spherical circle
The only ideas that can be used include: area ABC-RA2(A+B+C-Ipi), the Pythagorean theorem: Cos c-cos a cos b. Vectors-dot product cross product, sin A-sin a/sin c; coS A-COs a sin...