What are cofunction identities used for?
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.
What is the use of special angles of trigonometry?
Because it is easy to ‘exactly’ evaluate the trigonometric function without using a calculator for these angles. These angles have comparatively clean values, offering us a great deal to solve Math problems. We use these values to give precise answers for determining the values of many trigonometric ratios.
What is the cofunction Theorem?
Two functions are called cofunctions if they are equal on complementary angles (angles that add up to 90 degrees or π/2 radians). Secant and cosecant are another example of cofunctions as are tangent and cotangent, which gives us two more sets of identities.
How do you solve sin 90?
The value of sin 90 degrees can be calculated by constructing an angle of 90° with the x-axis, and then finding the coordinates of the corresponding point (0, 1) on the unit circle. The value of sin 90° is equal to the y-coordinate (1). ∴ sin 90° = 1.
What do you mean by cofunction identity?
A mathematical relation of two trigonometric functions whose angles are complementary is called cofunction identity. Co-function identities can be called as complementary angle identities and also called as trigonometric ratios of complementary angles.
What are complementary co-function identities?
Co-function identities can be called as complementary angle identities and also called as trigonometric ratios of complementary angles. There are six trigonometric ratios of complementary angle identities in trigonometry.
What is the formula for cofunction identities?
Cofunction Identities, degrees 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
What are the cofunction identities of trig functions?
Cofunction Identities Trig identitiesshowing the relationship between sineand cosine, tangentand cotangent, and secantand cosecant. The value of a trig functionof an angleequals the value of the cofunction of the complementof the angle. Cofunction Identities, radians