| Cofunction Identities, degrees | |
|---|---|
| sin (90° – x) = cos x | cos (90° – x) = sin x |
| tan (90° – x) = cot x | cot (90° – x) = tan x |
| sec (90° – x) = csc x | csc (90° – x) = sec x |
Likewise, people ask, what is the Cofunction of tan?
Cotangent and Tangent Tan(θ) is sin(θ)/cos(θ). Using the cofunction equations for sine and cosine: sin(θ)/cos(θ) = cos(90o – θ)/sin(90o – θ). Thus, tan(θ) = cot(90o – θ).
Beside above, what does Confunction mean? Definition of cofunction. : a trigonometric function whose value for the complement of an angle is equal to the value of a given trigonometric function of the angle itself the sine is the cofunction of the cosine.
Also to know is, what are Cofunction identities used for?
Cofunction Identities. The cofunction identities show the relationship between sine, cosine, tangent, cotangent, secant and cosecant. The value of a trigonometric function of an angle equals the value of the cofunction of the complement. Recall from geometry that a complement is defined as two angles whose sum is 90°.
What are the double angle identities?
Double-Angle and Half-Angle Identities. Special cases of the sum and difference formulas for sine and cosine yields what is known as the double-angle identities and the half-angle identities. First, using the sum identity for the sine, sin 2α = sin (α + α) sin 2α = sin α cos α + cos α sin α
7 Related Question Answers Found
Is Tan even or odd?
We can determine whether each of the other basic trigonometric functions is even, odd, or neither, with just these two facts and the reciprocal identities. Thus tangent takes the form f(−x)=−f(x), so tangent is an odd function. Therefore cotangent is also an odd function.
Is the Pythagorean theorem trigonometry?
The most common trigonometric identities are those involving the Pythagorean Theorem. Since the legs of the right triangle in the unit circle have the values of sin θ and cos θ, the Pythagorean Theorem can be used to obtain sin2 θ + cos2 θ = 1. This well-known equation is called a Pythagorean Identity.
What are the reciprocal identities?
The reciprocal means flipping the numbers. In general, the reciprocal identities are identities in which the equality relation occurs by swapping or interchanging the numerator and the denominator of the number. Trigonometric functions: Consider the first quadrant with the terminate point of radius r is P(x, y).
What is a reference angle?
The reference angle is the positive acute angle that can represent an angle of any measure. The reference angle is always the smallest angle that you can make from the terminal side of an angle (ie where the angle ends) with the x-axis.
How do you find Coterminal angles?
Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians. There are an infinite number of coterminal angles that can be found.
What is Secant math?
In geometry, a secant of a curve is a line that intersects the curve in at least two (distinct) points. The word secant comes from the Latin word secare, meaning to cut.
What is an exact value?
Exact value is where you cannot estimate the value you must be precise, eg; you can’t estimate something as being around about 5 centimetres; no you need an exact value such as 5.62. Exact value.