Practice Questions on Pythagorean Trig Identities
Q1: If cot A = 4/3 then, find the value of cosec A.
Q2: Evaluate [1/ (1 – cosec x)] [1/ (1 + cosec x)].
Q3: Simplify (cosecθ + cotθ)(cosecθ – cotθ).
Q4: Prove that: sin4x – cos4x = sin2x – cos2x.
Pythagorean Identities
Pythagorean Identities in trigonometry are derived from Pythagorean Theorem. They are also called Pythagorean Trigonometric Identities. One of the basic Pythagorean identity is sin²θ + cos²θ = 1. Let’s learn more about, Pythagorean identities in trigonometry including their proof and solved examples, as well.
Table of Content
- What are Pythagorean Identities?
- Pythagorean Trig Identities
- List of Pythagorean Identities
- Variation of Pythagorean Identities
- Pythagorean Identities Derivation
- Derivation of sin2θ + cos2θ = 1
- Derivation of 1 + tan2θ = sec2θ
- Derivation of 1 + cot2θ = cosec2θ
- FAQs
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