What is reciprocal identity?

Reciprocal Identities are the reciprocals of the six main trigonometric functions, namely sine, cosine, tangent, cotangent, secant, cosecant. … Every fundamental trigonometric function is a reciprocal of another trigonometric function. For example, cosecant is the reciprocal identity of the sine function.

What are the 3 reciprocal identities?

Their names are cosecant, secant and cotangent. Cosecant is the reciprocal identity of sine, secant that of cosine and cotangent that of tangent.

What is the reciprocal identity of sin?

The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

What are the reciprocal trig functions?

Reciprocal Trigonometric Functions
  • Cosecant is the reciprocal of sine. Its abbreviation is csc. To determine csc, just flip sin over.
  • Secant is the reciprocal of cosine. Its abbreviation is sec. To determine sec, just flip cos over.
  • Cotangent is the reciprocal of tangent. Its abbreviation is cot.

How do you read a reciprocal identity?

How do you do reciprocal trig identities?

How do you simplify reciprocal identity?

What are the reciprocal identities used for?

The Reciprocal Identities

They are the definitions of our trig functions in terms of another trig function. They tell us how the trig functions are related to each other. They also tell us which trig functions are reciprocals of each other.

How do I know if I have SOH CAH TOA?

What are the trigonometric identities?

All the trigonometric identities are based on the six trigonometric ratios. They are sine, cosine, tangent, cosecant, secant, and cotangent. All these trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side.

Is sec the reciprocal of cos?

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

Is Sohcahtoa only for right triangles?

Q: Is sohcahtoa only for right triangles? A: Yes, it only applies to right triangles. If we have an oblique triangle, then we can’t assume these trig ratios will work. … A: They hypotenuse of a right triangle is always opposite the 90 degree angle, and is the longest side.

Which is opposite adjacent and hypotenuse?

In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle. The hypotenuse of a right triangle is always the side opposite the right angle. …

Is Sohcahtoa a trigonometry?

Sohcahtoa: SOHCAHTOA is a mnemonic device that is used in mathematics to remember the definitions of the three most common trigonometric functions. … Sine, cosine, and tangent are the three main functions in trigonometry. They’re all based on ratios obtained from a right triangle.

What is SAS triangle?

first such theorem is the side-angle-side (SAS) theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

How do you write Cosecant?

Cosecant (csc) – Trigonometry function

In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the opposite side. In a formula, it is abbreviated to just ‘csc’.

Can sine cosine and tangent only be used in right triangles?

Though you can only use sin,cos,tan for only right triangles, You can always add an optional drawing to your non-right triangle (May it be acute or obtuse) to create right angled triangles.

Is there a SAA postulate?

Postulate 12.3: The ASA Postulate. If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.

Why SAS is an axiom?

Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and included angle of the other. Note: This axiom is known as side-angle-side or SAS-Congruence-Axiom or SAS-Criterion because it refers to two sides and the angle between them.

What is an example of SSS?

Do write to us. Side Side Side Postulate-> If the three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are congruent. Examples : 1) In triangle ABC, AD is median on BC and AB = AC.


SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side)

What is SSS SAS ASA AAS and HL?

SSS, or Side Side Side. SAS, or Side Angle Side. ASA, or Angle Side Side. AAS, or Angle Angle Side. HL, or Hypotenuse Leg, for right triangles only.

What is difference between ASA and AAS?

ASA stands for “Angle, Side, Angle”, while AAS means “Angle, Angle, Side”. Two figures are congruent if they are of the same shape and size. … ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side.