sin cos tan csc sec cot

How do you write CSC?
We usually write these in short form as \\displaystyle \\csc {\\ }\heta csc θ, \\displaystyle \\sec {\\ }\heta sec θ and \\displaystyle \\cot {\\ }\heta cot θ. (In some textbooks, " csc " is written as " cosec ". It's the same thing.)
What is the difference between cosine and secant?
Since cosine is the ratio of the adjacent to the hypotenuse, secant is the ratio of the hypotenuse to the adjacent. We know that the cotangent is the reciprocal of the tangent. Since tangent is the ratio of the opposite to the adjacent, cotangent is the ratio of the adjacent to the opposite. [I'd like to see more examples, please.] Try it yourself!
Is cos a symmetric function?
symmetry: since cos (-x) = cos (x) then cos (x) is an even function and its graph is symmetric with respect to the y axis. intervals of increase/decrease: over one period and from 0 to 2pi, cos (x) is decreasing on (0 , pi) increasing on (pi , 2pi). Domain: all real numbers except pi/2 + k pi, k is an integer.
How do you extend a sine & cosine function?
To extend the sine and cosine functions to functions whose domain is the whole real line, geometrical definitions using the standard unit circle (i.e., a circle with radius 1 unit) are often used; then the domain of the other functions is the real line with some isolated points removed.

PDF	Trig Cheat Sheet ( ) ( ) ( ) ( ) ( ) ( ) ( )x y tan adjacent ? = adjacent cot opposite ? = Unit circle definition. For this definition ? is any angle. sin. 1 y y ? = = 1 csc y ? = cos. 1 x x ? = = 1 sec.

PDF	Trig Cheat Sheet ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )x y tan adjacent ? = adjacent cot opposite ? = Unit circle definition. For this definition ? is any angle. sin. 1 y y ? = = 1 csc y ? = cos. 1 x x ? = = 1 sec.

PDF	Cos sin 1 1 tan sec x x x x + = + = 1 tan sec cot 1 csc x x x x + + = 09-Jan-2012 csc sec cot ? ? ? sin cos tan cot cos sin ? ? ? ? ? ?. = = III. Pythagorean Identities. A. Since the sine and cosine of an angle make up.

PDF	Degree radian sin cos tan cot sec csc 0 30 45 60 90 120 135 150 Table of Trigonometric Functions degree radian sin cos tan cot sec csc. 0. 0. 0. 1. 0 undefined. 1 undefined. 30 ?. 6. 1. 2. 3. 2. 3. 3. 3. 2 3. 3. 2. 45 ?.

PDF	Trigonometry The six functions are sine (sin) cosine (cos)

PDF	Trigonometric Identities sin(q) = opposite hypotenuse cos(q cos(q) = adjacent hypotenuse tan(q) = opposite adjacent cot(q) = adjacent opposite sec(q) = hypotenuse adjacent csc(q) = hypotenuse opposite tan(q) = sin(q).

PDF	LESSON 6: TRIGONOMETRIC IDENTITIES sint = 1 csc t cost = 1 sec t tant = 1 cot t. = sin t cos t csct = 1 sin t sect = 1 cos t cott = 1 tan t. = cos t sin t . Table 6.1: Reciprocal and Quotient

PDF	Angles and Radians of a Unit Circle tan 45 1 Negative: cos tan

PDF	Trig functions All Students Take Calculus. Meaning: All trig functions (sin cos

Choose PDF

PDF	Trig Cheat Sheet sec adjacent θ = opposite tan adjacent θ = adjacent cot opposite θ = Unit circle definition For this definition θ is any angle sin 1 y y θ = = 1 csc y θ = cos 1 x x

PDF	Tangent, Cotangent, Secant, and Cosecant cot x = cos x sin x The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x

PDF	Degree radian sin cos tan cot sec csc 0 30 45 60 90 120 135 150 Table of Trigonometric Functions degree radian sin cos tan cot sec csc 0 0 0 1 0 undefined 1 undefined 30 π 6 1 2 3 2 3 3 3 2 3 3 2 45 π 4 2 2 2 2 1

PDF	TRIGONOMETRY sin cos tan opposite a hypotenuse c adjacent b hypotenuse c opposite a adjacent b θ θ θ = = = = = = csc sec cot hypotenuse c opposite a hypotenuse c adjacent

PDF	Trigonometry The six functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot) Below you will see the ratios formed by these

PDF	Section 64 Right Triangle Trigonometry csc , sec cot θ θ θ are simply the reciprocals of the ratios for ,and sin , cos tan θ θ θ respectively The value of the six trigonometric functions for a specific acute

PDF	Trigonometry sin cos tan sec csc cot - Squarespace Trigonometry sin cos tan sec csc cot Trig Functions: The Functions sine(q) = opp/ hyp cosecant(q) = hyp/opp cosine(q) = adj/hyp secant(q) = hyp/adj tangent(q)

PDF	THE GRAPHS OF THE TRIG FUNCTIONS Advanced Algebra Trigonometry I The Basic Graphs A Sine (sin) B Cosecant (csc) C Cosine (cos) D Secant (sec) E Tangent (tan) F Cotangent ( cot)

PDF	Trigonometric Functions on the Unit Circle Given a point on the y sin θ = y csc θ = r r y cos θ = x sec θ = r r x tan θ = y cot θ = x x y Ex Find the six trig values of (8, 6) if it's a point on the terminal side of an angle in standard