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Find the Exact Value sin (165) sin(165) sin ( 165) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. sin(15) sin ( 15) Split 15 15 into two angles where the values of the six trigonometric functions are known. sin(45−30) sin ( 45 - 30) Separate negation.Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The proofs for the Pythagorean identities using secant and cosecant are very similar to the one for sine and cosine. You can also derive the equations using the "parent" equation, sin 2 ( θ ) + cos 2 ( θ ) = 1. Divide both sides by cos 2 ( θ ) to get the identity 1 + tan 2 ( θ ) = sec 2 ( θ ). Divide both sides by sin 2 ( θ ) to get the identity 1 + cot 2 ( θ ) = csc 2 ( θ ).Get detailed solutions to your math problems with our Proving Trigonometric Identities step-by-step calculator. 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The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of ...For equation solving, Wolfram|Alpha calls the Wolfram Language's Solve and Reduce functions, which contain a broad range of methods for all kinds of algebra, from basic linear and quadratic equations to multivariate nonlinear systems. In some cases, linear algebra methods such as Gaussian elimination are used, with optimizations to increase ...In these lessons, we will learn to use trigonometric identities, including cofunction identities, power reducing formulas and half-angle identities. Share this page to Google Classroom. Related Pages Basic Trigonometric Identities ... 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