Use a right triangle to write the expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function cos (tan x) xVx? +1 x²+1 OA. -1 O B. x2 -1 + 1 OC. x² +1 OD. xVx +1

Q: Evaluate using the Pythagorean identities.   Find sinx and cosx if tanx = 1/5 and sinx>0.

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Q: Find csc-1(4.3) (in radians).  (Hint: Use sin-1)

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Q: cos( - x) csc x

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Q: Simplify sin(2x) sec (r) 1 - cos²(x) to an expression that only involves one trig function.

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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.