tabocampos1414
20.09.2020 •
Mathematics
Use the diagram to complete the statements about how to prove the cosine sum identity. A unit circle. Point P is on the circle on the x-axis at (1, 0). Point S is in quadrant 4 on (cosine (negative beta), sine (negative beta) ). Point Q is in quadrant 1 above point P at (cosine (alpha), sine (alpha) ). Point R is above point Q at (cosine (alpha + beta), sine (alpha + beta) ). Triangles AOC and BOD are congruent by SAS. Therefore, and these lengths can be found using the . Because this is the unit circle, the coordinates of points A, B, and D are equal to cosine and sine of Alpha + Beta , Alpha, and –β, respectively. Write expressions for the lengths and set them equal. Rewrite cos(-Beta) and sin(-Beta) using the identities before squaring both sides of the equation. Simplifying the resulting expressions involving cosine and sine of Alpha, Beta, and Alpha + Beta requires using the identity. When simplified, the equation becomes cos(Alpha + Beta) = cos(Alpha)cos(Beta) - sin(Alpha)sin(Beta).
Solved
Show answers
More tips
- H Health and Medicine How to Calculate Your Ideal Weight?...
- S Style and Beauty Discover the Art of Nail Design: How Do You Paint Your Nails?...
- P Philosophy How to Develop Extrasensory Abilities?...
- O Other Everything You Need to Know About Kudyabliks...
- C Computers and Internet The Twitter Phenomenon: What it is and How to Use it...
- C Computers and Internet How to Choose a Laptop: Expert Guide and Tips...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
Answers on questions: Mathematics
- M Mathematics Can somebody help me with these as well?...
- M Mathematics Prove: An even times an even is an even. 2n · 2m = [ ? ]mn = even ...
- M Mathematics Lisa has 6 blue shirts 4 green shirts and 2 red shirts. If Lisa pulls out one shirt without looking, what is the probability that it will be red?...
- M Mathematics Please please help me I really really need help...
- M Mathematics Which of the following is the reciprocal parent function? A. F(x) = |x| B. F(x) = 1/x C. F(x) = -x2 D. Fx) = x + 1...
- M Mathematics PLZ IN NEED OF HELP!...
- M Mathematics By what factor would you need to multiply the dimensions of a polygon in order for the resulting image to have a perimeter that is equal to the original perimeter?...
- M Mathematics Giving brainlist to whoever answers plz...
- M Mathematics In the figure below, WZ and WX are tangent to the circle centered at O. The segment ZX passes through the center of the circle....
- M Mathematics Please help me asap!!!...
Ответ:
AC=BD
distance formula
Pythagorean identity
Step-by-step explanation:
just did it on edge
Ответ: