A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 10ft above the bow. The rope is hauled in at the rate of 1ft/sec. At what rate is the angle (theta) changing at this instant? (Integer or simplified fraction)
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.
A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 10ft above the bow. The rope is hauled in at the rate of 1ft/sec.
At what rate is the angle (theta) changing at this instant? (Integer or simplified fraction)
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