cse(t) – sin(t) Simplif - to a single trigonometric function. cot(t) List two identities that you used to simplify the expression. Edit - Insert - Formats - BIU X , x A A
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.
Given,
(csc(t)-sin(t))/cot(t)
Simplifying the equation,
= csc(t)/cot(t) - sin(t)/cot(t) ----equation 1
We know that,
csc(t) = 1/sin(t)
cot(t) = cos(t)/sin(t)
Therefore,
csc(t)/cot (t) can be written as,
csc(t)/cot (t)= (1/sin(t))/(cos(t)/sin(t))
csc(t)/cot (t) = 1/cos(t)--- equation 2
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