A patrol car is parked 50 feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of 32 revolutions per minute. How fast is the light beam moving (in ft/sec) along the wall when the beam makes angles of e = 30°, e = 60°, and e = 85° with the line perpendicular from the light to the wall? (Round your answers to two decimal places.) y ft (a) e = 30° ft/sec (b) e = 60° 12800n ft/sec (©) e = 85° ft/sec
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.
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