Trigonometric identities are equations involving trigonometric functions that are true for all values of the variables within their domains.
Well-known trigonometric identities include the Pythagorean identities, reciprocal identities, and quotient identities.
One of the Pythagorean identities is sin²(θ) + cos²(θ) = 1. For any angle θ, if you square the sine of θ and add it to the square of the cosine of θ, the result is always 1.
Trigonometric identities are crucial for simplifying trigonometric expressions and solving trigonometric equations.
They have applications in physics, engineering, and other scientific fields.
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