3P/2 – the) equals : cos th cos

Trigonometry Formulas involving co-function Identities(in Degrees) Cosecant and secant as well as cotangent refer to the mutual inverses of the three basic trigonometric ratios sine and cosine, and Tangent. The trigonometry formulas based on cofunction identities show the relationship between the various trigonometry functions.1 All the reciprocal identities can be calculated using a right-angled triangular figure as reference. The formulas for co-function trigonometry are represented as degrees below: These trigonometric reciprocal identities are created using trigonometric formulas. sin(90deg – x) = cos x cos(90deg – x) = sin x tan(90deg – x) = cot x cot(90deg – x) = tan x sec(90deg – x) = cosec x cosec(90deg – x) = sec x.1 The trigonometry formulas based on reciprocal identities, which are given below, are often used to simplify trigonometric issues. Trigonometry Formulas involving Sum and Different Identifications. cosec th = 1 sin th secth is 1/cos th the cot = 1/tan sin = 1/cosec cos th = 1 sec th the tan = 1/cot.1 The difference and sum identities are the trigonometry formulas such as sin(x + y), cos(x – y), cot(x + y) and so on. Trigonometric Ratio Table. sin(x + y) = sin(x)cos(y) + cos(x)sin(y) cos(x + y) = cos(x)cos(y) – sin(x)sin(y) tan(x + y) = (tan x + tan y)/(1 – tan x * tan y) sin(x – y) = sin(x)cos(y) – cos(x)sin(y) cos(x – y) = cos(x)cos(y) + sin(x)sin(y) tan(x – y) = (tan x – tan y)/(1 + tan x * tan y) This table lists trigonometry formulas for angles which are often used to solve trigonometry issues.1

Trigonometry Formulas for Multi- and Sub-Multiple Angles. The trigonometric ratios tables aids in determining the values of trigonometric standards angles such as 0deg 30deg 45deg, 60deg, as well as 90deg. Trigonometry formulas for multiple or sub-multiple angles are able to be used to determine the value of trigonometric formulas for half angle triple angle, double angle, angle, etc.1 Angles (In Degrees) 0deg 30deg 45deg 60deg 90deg 180deg 270deg 360deg Angles (In Radians) 0deg p/6 p/4 p/3 p/2 p 3p/2 2p sin 0 1/2 1/2 3/2 1 0 -1 0 cos 1 3/2 1/2 1/2 0 -1 0 1 tan 0 1/3 1 3 0 0 cot 3 1 1/3 0 0 cosec 2 2 2/3 1 -1 sec 1 2/3 2 2 -1 1. Trigonometry Formulas involving Half-Angle Identities.1 Trigonometry Formulas that Require the Periodic Identities(in Radians) The angle’s half is shown in the following trigonometry formulas. Formulas for trigonometry that use periodic identities can be used to shift the angles by p/2 2p, p, etc. sin (x/2) = +-[(1 – cos x)/2] Each trigonometric identity is intrinsically cyclic, which means that they are repeated after some time.1 cos (x/2) = +- [(1 + cos x)/2] This time frame differs for various trigonometry equations on periodic identities. tan (x/2) = +-[(1 – cos x)/(1 + cos x)] For instance that tan 30deg is tan 220deg, however this is not the case with cos 30deg and cos210deg. or, tan (x/2) = +-[(1 – cos x)(1 – cos x)/(1 + cos x)(1 – cos x)] You can use the trigonometry formulas listed below to confirm the periodicity of sine and cosine functions.1 tan (x/2) = +-[(1 – cos x) 2 /(1 – cos 2 x)] sin (p/2 + sin (p/2 -) = cos the cos (p/2 + the) = sin the sin (p/2 + th) = cos the cos (p/2 + the) = – sin the. = tan (x/2) = (1 – cos x)/sin x. sin (3p/2 – the) equals : cos th cos (3p/2 + the) = – sin the sin (3p/2 + the) = -cos the cos (3p/2 + the) = sin the.1 Formulas for Trigonometry involving Dual Angle Identification. sin (p + sin (p -) = sin the cos (p + Th) = cos the sin (p + th) = – sin the cos (p + th) = – cos the.

The second half of angle x is shown in the following trigonometry formulas. sin (2p + sin (2p -) = – sin the cos (2p + the) = cos the sin (2p + the) = sin the cos (2p + th) = cos the.1 sin (2x) = 2sin(x) * cos(x) = [2tan x/(1 + tan 2 x)] cos (2x) = cos 2 (x) – sin 2 (x) = [(1 – tan 2 x)/(1 + tan 2 x)] cos (2x) = 2cos 2 (x) – 1 = 1 – 2sin 2 (x) tan (2x) = [2tan(x)]/ [1 – tan 2 (x)] sec (2x) = sec 2 x/(2 – sec 2 x) cosec (2x) = (sec x * cosec x)/2. Trigonometry Formulas that Involve the Co-function Identities(in Degrees) Trigonometry Formulas involving the Triple Angle Identification.1 The trigonometry formulas for cofunction identities reveal the interrelationship between different trigonometry functions. The triple of the angle x is shown in the following trigonometry equations.

The trigonometry co-function formulas are described below in degrees: sin 3x = 3sin x – 4sin 3 x cos 3x = 4cos 3 x – 3cos x tan 3x = [3tanx – tan 3 x]/[1 – 3tan 2 x] sin(90deg – x) = cos x cos(90deg – x) = sin x tan(90deg – x) = cot x cot(90deg – x) = tan x sec(90deg – x) = cosec x cosec(90deg – x) = sec x.1 Trigonometry Formulas – Sum as well as Product Identities. Trigonometry Formulas that involve Sum and Different Identifications. Trigonometric formulas for sums or product identities can be used to represent the sum of two trigonometric functions , in their form of product or vice versa. The difference and sum identities comprise trigonometry formulas such as sin(x + y), cos(x – y), cot(x + y) and others.1 Trigonometry Formulas involving Product Identities. sin(x + y) = sin(x)cos(y) + cos(x)sin(y) cos(x + y) = cos(x)cos(y) – sin(x)sin(y) tan(x + y) = (tan x + tan y)/(1 – tan x * tan y) sin(x – y) = sin(x)cos(y) – cos(x)sin(y) cos(x – y) = cos(x)cos(y) + sin(x)sin(y) tan(x – y) = (tan x – tan y)/(1 + tan x * tan y) sinxcosy sinxcosy = [sin(x + y) + sin(x – y)]/2 cosxcosy is [cos(x + y) + cos(x – y)]/2 sinxsiny is [cos(x + cos(x -) + cos(x + y)]/2.1

Trigonometry Formulas for multiple and sub-multiple angles. Trigonometry Formulas involving the Sum of Product Identifications. Trigonometry formulas that cover multiple and sub-multiple angles can be utilized to determine the trigonometric value for half angle triple angle, double angle angle, and so on.1

Two acute angles B and A can be represented by trigonometric ratios in the formulas below for trigonometry. Trigonometry Formulas That Require Half-Angle Identifications. sinx + siny sinx + siny = 2[sin((x + y)/2)cos((x + y)/2)] sinx + siny = 2[cos((x + y)/2)sin((x + y)/2)] cosx + cosx + cosy is 2[cos((x + y)/2)cos((x + y)/2)cosx – cozy cosx – cosy = -2[sin((x + y)/2)sin((x + y)/2)(x – y)/2)