crtlq
08.10.2021 •
Mathematics
I desperately need help with Precal Unit 7 Sequences and Series test. My mom has been in the hospital and I've gotten behind! Any help will be appreciated & give you 100 points
Solved
Show answers
More tips
- H Health and Medicine Angina: Causes, Symptoms, and Treatment...
- H Health and Medicine What vaccines do children need?...
- H Health and Medicine Reasons for the Appearance of Warts: Everything You Need to Know...
- A Art and Culture How to Learn Screaming: Step-by-Step Guide for Beginners...
- H Health and Medicine Contraceptive Pills After 35: The Importance Of Choosing The Right Medication...
- 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 Phyllis invested 45000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 6 percent per year. After one year the total interest...
- P Physics Which car has the most kinetic energy ? a car of mass 1300 kg with speed 3 m/s ? a car of mass 1200 kg with speed 2m/s ? a car of mass 1400 kg with speed 4 m/s ? a car of mass...
- H History Free pointshow are u all ???...
- E English What is the theme of “the little red tortoise.”?...
Ответ:
Step-by-step explanation:
Given sin 30° = 1/2, to check which of the statements is correct we will apply the Pythagoras theorem to a right angled triangle shown in the attachment.
using the SOH CAH TOA trig identity on the right angled triangle, ACD gotten from the equilateral triangle ABC;
From ΔACD, AD is the hypotenuse, DC is the opposite side to the angle 30° and AC is the adjacent.
From the diagram, sin30° = opp/hyp = DC/AD
sin30° = 1/2
Taking consideration of the acute angle 60°, the opposite side to the angle will be AC and the adjacent side will be CD.
According to CAH, cos 60° = adj/hyp = CD/AD
Given CD = 1 and AD = 2
cos60° = 1/2
This shows that sin30° = cos60° = 1/2
Note that ∠CDA and ∠DAC are angles complementary. Complementary angles are angles which have its sum to be 90°