Evaluate each expression without using a calculator, and write your answers in radians.       tan -1    (1)

Q: Simplify the expression two ways. One for each side of the equation.  tan2 x* sin2 x = tan2 x -…

A: Given expression is  tan2x·sin2x=tan2x-sin2x . Now,…

Q: tan (sin-¹), x≤1 |x|

A: Make a right angles triangle. Assume Sin-1(x)=y and equate perpendicular and hypotenuse side of the…

Q: Calculate fa₁. (1 + tan² a) da

A:

Q: Evaluate the expression and write your answers in radians. cos-1(-1)=

A: The objective of the question is to find the value of the inverse cosine of -1 in radians.

Q: Jeremy boards a Ferris wheel at the 3- o'clock position and rides the Ferris wheel for multiple…

A:

Q: Evaluate each expression without using a calculator, and write your answers in radians.       cos…

A: Given:cos12

Q: Write each in terms of sin x

A: Given:

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.