Question

How many trigonometric identities are there?

Answer 1

Answer:

There are six trigonometric identities.

• They are sine, cosine, tangent, cosecant, secant, and cotangent. 

Answer 2

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Explanation:

List of Trigonometric Identities

There are various identities in trigonometry which are used to solve many trigonometric problems. Using these trigonometric identities or formulas, complex trigonometric questions can be solved quickly. Let us see all the fundamental trigonometric identities here.

Reciprocal Trigonometric Identities

The reciprocal trigonometric identities are:

• Sin θ = 1/Csc θ or Csc θ = 1/Sin θ
• Cos θ = 1/Sec θ or Sec θ = 1/Cos θ
• Tan θ = 1/Cot θ or Cot θ = 1/Tan θ

Pythagorean Trigonometric Identities

There are three Pythagorean trigonometric identities in trigonometry that are based on the right-triangle theorem or Pythagoras theorem.

• sin2 a + cos2 a = 1
• 1+tan2 a = sec2 a
• cosec2 a = 1 + cot2 a