Using Inverse Properties In Exercises45–50, find the exact value of the expression,if possible.45. sin(arcsin 0.3) 46. tan(arctan 45)47. cos[arccos(−√3)] 48. sin[arcsin(−0.2)]49. arcsin[sin(9π4)] 50. arccos[cos(−3π2)]

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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.