What are the 6 cofunction identities?
What are the 6 cofunction identities?
The cofunction identities show the relationship between sine, cosine, tangent, cotangent, secant, and cosecant. The value of an angle’s trig function equals the value of the angle’s complement’s cofunction. We refer to the sine and cosine functions as cofunctions of each other.
What is a co function in math?
In mathematics, a function f is cofunction of a function g if f(A) = g(B) whenever A and B are complementary angles. This definition typically applies to trigonometric functions. The prefix “co-” can be found already in Edmund Gunter’s Canon triangulorum (1620).
What is the co function identity of sin θ?
The six main cofunction identities are: cos θ = sin (90° – θ) sin θ = cos (90° – θ)
Is 270 a co function?
Sine and cosine are known as co-functions . Two functions are called co-functions if f(A)=g(B) whenever A+B=90∘ (i.e. A and B are complementary angles). The other trig co-functions are secant and cosecant, and tangent and cotangent….Function values of (270∘±θ)
| third quadrant (270∘-θ) | fourth quadrant (270∘+θ) |
|---|---|
| cos(270∘-θ)=-sinθ | cos(270∘+θ)=+sinθ |
What is the co function of sin 30?
The value of sin 30 degrees is 0.5. Sin 30 is also written as sin π/6, in radians. The trigonometric function also called as an angle function relates the angles of a triangle to the length of its sides.
What is the cofunction of sin 70?
Explore the pattern for Cofunctions
| θ | sin( θ ) | cos(θ- 90 ) |
|---|---|---|
| 60 ° | sin(60 ) = 0.86602540378444 | cos(30°) = 0.86602540378444 |
| 70 ° | sin(70 ) = 0.93969262078591 | cos(20°) = 0.93969262078591 |
| 80 ° | sin(80 ) = 0.98480775301221 | cos(10°) = 0.98480775301221 |
| 90 ° | sin(90 ) = 1 | cos(0°) = 1 |
What is the cofunction of tan 49?
1.1504
Tan 49 degrees is the value of tangent trigonometric function for an angle equal to 49 degrees. The value of tan 49° is 1.1504 (approx).
What is the cofunction of sin 30?
Explore the pattern for Cofunctions
| θ | sin( θ ) | cos(θ- 90 ) |
|---|---|---|
| 10 ° | sin(10 ) = 0.17364817766693 | cos(80°) = 0.17364817766693 |
| 20 ° | sin(20 ) = 0.34202014332567 | cos(70°) = 0.34202014332567 |
| 30 ° | sin(30 ) = 0.5 | cos(60°) = 0.5 |
| 40 ° | sin(40 ) = 0.64278760968654 | cos(50°) = 0.64278760968654 |
What is Cosec 270 Theta?
Answer: The value of 270º for all the six trigonometric ratios are: sin 270° = – 1, cos 270° = 0, tan 270° = Not defined, cosec 270° = – 1, sec 270° = Not defined, cot 270°= 0.
What is cos 270 minus theta?
cos (270° – θ) = cos [180° + 90° – θ] = cos [180° + (90° – θ)] = – cos (90° – θ), [since cos (180° + θ) = – cos θ] Therefore, cos (270° – θ) = – sin θ, [since cos (90° – θ) = sin θ] tan (270° – θ) = tan [180° + 90° – θ]
What is the cofunction of Cos 14?
0.9703
The value of cos 14° is equal to the x-coordinate (0.9703). ∴ cos 14° = 0.9703.
What is the Cofunction of Cos 14?
What is the co function of tan?
Degree
| Sine and cosine are cofunctions and complements | sin(90° – x) = cos x | cos(90° – x) = sin x |
|---|---|---|
| Tangent and cotangent are cofunctions and complements | tan(90° – x) = cot x | cot(90° – x) = tan x |
| Secant and cosecant are cofunctions and complements | sec(90° – x) = csc x | csc(90° – x) = sec x |
What is the value of Cosec 1410?
-2
The value of cosec 1410° is equal to the reciprocal of the y-coordinate (-0.5). ∴ cosec 1410° = -2.
How do you solve COS 270?
The value of cos 270 degrees can be calculated by constructing an angle of 270° with the x-axis, and then finding the coordinates of the corresponding point (0, -1) on the unit circle. The value of cos 270° is equal to the x-coordinate (0). ∴ cos 270° = 0.
What is cofunction of cot?
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.
What is the value of cosec 1200?
1.1547
Cosec 1200 degrees is the value of cosecant trigonometric function for an angle equal to 1200 degrees. The value of cosec 1200° is 2/√3 or 1.1547 (approx).
What is the value of cosec 30?
The value of cosec 30 degrees is 2. Cosec 30 degrees in radians is written as cosec (30° × π/180°), i.e., cosec (π/6) or cosec (0.523598. . .). In this article, we will discuss the methods to find the value of cosec 30 degrees with examples.
How to find the cofunction of a function?
A function f is cofunction of a function g if f (A) = g (B) when A and B are complementary angles. The following figures give the cofunction identities.
How do you find the co-function formula in degrees?
Given variable u as a real number or the radian measure of an angle, then the cofunction formulas in degrees are shown: Sine and cosine are cofunctions and complements. cos (90° – u) = sin (u) sin (90° – u) = cos (u)
What is an example of a cofunction?
Being a cofunction, means that complementary input angles leads to the same output , as shown in the following example: Is the statement below True or False? Statement: f ( x) and g ( x) are cofunctions because g ( 60 ∘) = .5 and f ( 30 ∘) = .5 True.
How do you find the co-function of sin(θ)?
Find an angle θ that makes the trigonometric expression sin (θ) = cos (3θ -10) right. Since we want cofunction values to be equal, the two angles must be complementary. The angles θ that makes the expression true is θ = 25°. Find an angle θ that makes the trigonometric expression tan θ = cot (θ/2 + π/12) true.