• Given that tan a = 8 and that a lies in quadrant III, find the exact value of the following: 15' • sin 15 SIn - cos a COsa -8 Cos 17 +(好 “「 将:請器 () tan 32 2f 34 225+ 64 =c² -c² 17 (1 = C %3D +1

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A: you can clearly understand if you follow the below solution

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Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.