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What is the relation among all the trigonometrical ratios of (90° - θ)? In trigonometrical ratios of angles (90° - θ) we will find the relation between all six trigonometrical ratios. Trigonometric identities are equations involving trigonometric functions that hold true for all values of the variables within their domains. There are many such identities, either involving the sides of a right-angled triangle, its angle, or both. They are based on the six fundamental trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). All the identities are derived from the six trigonometric functions and are used to ... The cosine function is negative in the second and third quadrants. To find the second solution, subtract the reference angle from to find the solution in the third quadrant. Learn how to use trigonometric identities to simplify expressions involving sine, cosine and tangent functions. Find out how to use the magic hexagon, Pythagoras' theorem and other identities to solve problems.