What is the relationship between sine and cosine of the complementary angles?
sin(x) = cos(90° - x)
cos(x) = sin(90° - x)
The side adjacent to theta divided by the hypotenuse, or the angle opposite of the right angle
What is the smallest angle in a right angle triangle?
It can have any value x degrees where 0 < x < 45.
Where does the word sincere come from?
Middle French, from Latin sincerus whole, pure, genuine, probably from sem- one + -cerus (akin to Latin crescere to grow)
For what values of theta the theta equals sin theta please give eg?
sin(0)=0 and sin(very large number) is approximately equal to that same very large number.
What is csc theta when sin theta equals two-third with theta in quadrant one?
Your question is CscΘ=? when SinΘ=2/3 in Q1
well bases on the fundamental identities.. Sin Θ= 1/CscΘ and CscΘ= 1/SinΘ
So when your in is 2/3
CscΘ=1/sinΘ
CscΘ =1/(2/3)
CscΘ = 3/2 -The value of cscΘ and it is positive because all functions in quadrant 1 are positive..
If you have more questions, please comment..:))
When would you use Integration by Trigonometric Substitution?
There are no universal rules. However, there are a number of situations : quadratic functions and their square roots for which trigonometric substitutions are effective.
What is the value of sin theta?
You cannot answer that until you assign theta a value. Theta is just a Greek letter that represents a variable, much like how we use English letters x,y, etc. to represent our variables.
The reason the Greek letters are more appealing is that there are more Greek letters than English letters. So when working with complex equations that require many variables, it's more convenient to use the Greek alphabet.
You are referring to a special case of shape
its called a line
Zero. Tangent = sine/cosine. sin(0) = 0 and cos(0) = 1, so 0/1 = 0.
What are the different kind of angles and measurement?
Acute . . . less than 90°
Right . . . 90°
Obtuse . . . more than 90° and less than 180°
Straight . . . 180°
Reflex . . . more than 180° and less than 360°
A cotan (abbreviation of cotangent) is a triganomic function used to define the ratio of the length of the adjacent side to the lenth of the opposite side.eg.
Cot A = 1/tan a = adacent/ opposite = b/a.
How do you simplify tan cot equals 1?
It just simplifies down to 1=1. You have to use your trig identities... tan=sin/cos cot=cos/sin thus tan x cot= (sin/cos) (cos/sin) since sin is in the numerator for tan, when it is multiplied by cot (which has sin in the denominator) both of the signs cancel and both now have a value of 1. The same happens with cos. so you get 1 x 1=1 so there is your answer. just learn your trig identities and you will understand