tan (–x) = –tanx csc (–x) = –cscx sec (–x) = secx cot (–x) = –cotx Cofunction Identities,radians Cofunction Identities,degrees sin (90° –x) = cosx cos (90° –x) = sinx tan (90° –x) = cotxcot (90° –x) = tanx ...
Basic Trigonometric Identities All trigonometric identities are derived using the six basic trigonometric ratios. These are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). Fig 1: Trig Ratios Chart FIg 1 displays a chart that can be used to ...
AND we also get these co-function identities:Examples:sin(30°) = cos(60°) tan(80°) = cot(10°) sec(40°) = csc(50°)Or, if you prefer, in radians:Examples:sin(0.1π) = cos(0.4π) tan(π/4) = cot(π/4) sec(π/3) = csc(π/6)...
Tan, cot, sec, and csc, calculated from trig identities. Once you know the value of sine and cosine, you can use the following trigonometric identities to obtain the values of the other four functions: Tangent is the sine-to-cosine ratio tan(α) = sin(α)/cos(α) Cosecant is the re...
tan(A±B) 3 sin(A±B) 4 Pythagorean identity (cot and csc) 本學習集中的詞語(10) Pythagorean identity (sin and cos) sin²x + cos²x = 1 sin²x = 1 - cos²x cos²x = 1 - sin²x Pythagorean identity (tan and sec) ...
USEFUL TRIGONOMETRIC IDENTITIES Definitions tan x=sin x cos x sec x= 1 cos x cosec x= 1 sin x cot x= 1 tan x Fundamental trig identity (cos x)2+(sin x)2=1 1+(tan x)2=(sec x)2 (cot x)2+1=(cosec x)2 Odd and even properties cos(−x)=cos(x)sin(−x)=−sin(...
sec(π/2-θ) secθ csc(π/2-θ) cotθ tan(π/2-θ) tanθcosθ sinθ sinθ/tanθ cosθ sin²θ + cos²θ 1 sin²θ 1-cos²θ cos²θ 1-sin²θ tan²θ sec²θ-1 cot²θ csc²θ-1 csc²θ cot²θ+1 ...
Function:The function to derive (sin, cos, tan, cot, sec, csc) Sign:The "primary" functions are positive, and the "co" (complementary) functions are negative Scale:The hypotenuse (red) used by each function Swap:Theotherfunction in each Pythagorean triangle (sin ⇄ cos, tan ⇄ sec,...
Trigonometric Identities: There are three basic identities which are called Pythagorean identities. From these identities, we can derive various other identities that hold true for all values of the given angle. Answer and Explanation: {eq}\begin{align*} \dfrac{-\tan x}...
Trigonometry Review Find sin( /4) = cos( /4) = tan( /4) = Find sin( /4) = cos( /4) = tan( /4) = csc( /4) = sec( /4) = cot( /4) = csc( Objectives : 1. To use identities to solve trigonometric equations Vocabulary : ...