What Are The 3 Basic Reciprocal Trigonometric Functions?

What is the reciprocal of sin A?

Cosecant is the reciprocal of sine.

Its abbreviation is csc..

Is sin 1 the same as CSC?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

What are the 6 reciprocal identities?

Terms in this set (6)sin. 1/csc.cos. 1/sec.tan. 1/cot.cot. 1/tan.sec. 1/cos.csc. 1/sin.

Whats the opposite of Cos?

Sine, Cosine and TangentSine Function:sin(θ) = Opposite / HypotenuseCosine Function:cos(θ) = Adjacent / HypotenuseTangent Function:tan(θ) = Opposite / Adjacent

What is the formula of Sinx?

Shifting angle by π/2, π, 3π/2 (Co-Function Identities or Periodicity Identities)sin (π/2 – x) = cos xcos (π/2 – x) = sin xsin (π/2 + x) = cos xcos (π/2 + x) = – sin xsin (3π/2 – x) = – cos xcos (3π/2 – x) = – sin xsin (3π/2 + x) = – cos xcos (3π/2 + x) = sin xsin (π – x) = sin xcos (π – x) = – cos x4 more rows•Feb 6, 2019

What does R mean in trigonometry?

When you work with angles in all four quadrants, the trig ratios for those angles are computed in terms of the values of x, y, and r, where r is the radius of the circle that corresponds to the hypotenuse of the right triangle for your angle.

What are the 3 reciprocal identities?

Applying the concept of reciprocal identities, mathematicians define three more ratios. Their names are cosecant, secant and cotangent. Cosecant is the reciprocal identity of sine, secant that of cosine and cotangent that of tangent.

What does SOH CAH TOA mean?

sine equals opposite over hypotenuse”SOHCAHTOA” is a helpful mnemonic for remembering the definitions of the trigonometric functions sine, cosine, and tangent i.e., sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, and tangent equals opposite over adjacent, (1)

What is trigonometry formula?

Basic Formulas By using a right-angled triangle as a reference, the trigonometric functions or identities are derived: sin θ = Opposite Side/Hypotenuse. cos θ = Adjacent Side/Hypotenuse. tan θ = Opposite Side/Adjacent Side. sec θ = Hypotenuse/Adjacent Side.

What does Toa stand for?

TOAAcronymDefinitionTOATrials of Apollo (gaming)TOATable of AcronymsTOATransfer of AffectionTOATime Of Arrival47 more rows

What is the formula for SOH CAH TOA?

They are often shortened to sin, cos and tan. The calculation is simply one side of a right angled triangle divided by another side … we just have to know which sides, and that is where “sohcahtoa” helps….Sine, Cosine and Tangent.Sine:soh…sin(θ) = opposite / hypotenuseTangent:…toatan(θ) = opposite / adjacent1 more row

Who is the father of trigonometry?

HipparchusThe first trigonometric table was apparently compiled by Hipparchus, who is consequently now known as “the father of trigonometry”.

How do you learn trigonometry?

Learn Trigonometry in 5 stepsStep 1: Review your all basics. … Step 2: Start with the right angle triangles. … Example: A right angle have two sides 5 cm and 3 cm find the hypotenuse.Using Pythagoras theorem. … Step 4: Learn the other important function of trigonometry. … Step 5: Practice is the key for any branch of mathematics.

What are the 3 basic trigonometric functions?

The most widely used trigonometric functions are the sine, the cosine, and the tangent.

What are the reciprocal trig functions?

There are three reciprocal trigonometric functions, making a total of six including cosine, sine, and tangent. The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta).

What is the reciprocal of Tanθ?

The reciprocal tangent function is cotangent, expressed two ways: cot(theta)=1/tan(theta) or cot(theta)=cos(theta)/sin(theta).

What is a reciprocal identity?

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).

Can you use SOH CAH TOA any triangle?

The Sine Rule can be used in any triangle (not just right-angled triangles) where a side and its opposite angle are known. You will only ever need two parts of the Sine Rule formula, not all three. … As before, you will only need two parts of the Sine Rule , and you still need at least a side and its opposite angle.