Find the exact value of each expression without the use of a calculator.  tan π/6 x(times) csc π/4

Q: Find the exact value of each expression.

A: Given, y=tancos-1-32 or tancos-132 now find value of given expression we know, cosπ6=32 π6=cos-132…

Q: Evaluate the expression below without using a calculator. cos(2 tan-1 )

A:

Q: Find each function value sin 2.3581

A: We have to evaluate sin 2.3581.  Note that the given angle is in radians.

Q: find the exact value of tan(pi/4)

A: The exact value of tan(π4) is 1.

Q: without a calculator tan(π/3)=

A:

Q: Find the exact value of each expression.cos-1 1

A: To find the exact value of expression cos-11. Solution: Range of cos-1x is -1, 1. Evaluating the…

Q: Find the exact value of each expression. sin 105°

A: The value of sin105° can be calculated as, sin105°=sin60°+45°…

Q: Use the even–odd properties to find the exact value of each expression.Do not use a calculator.…

A: Let the given value be y - y = tan-πUsing identity - tan-x =-tanxHemce, the given expression is an…

Q: Determine the exact value of each expression without the aid of a calculator. 1. cos^-1(cos7π/6)

A: the exact value of each expression without the aid of a calculator. 1. cos^-1(cos7π/6)

Q: Evaluate each expression without using a calculator (a) sec[arctan(−3/5)]        (b)…

A: We draw a triangle with opposite=-3 and adjacent = 5 , then we find the hypotenuse

Q: Find the exact value, in radians, of the expression. (-4) arcsin

A:

Q: find the exact value of each expression.sin-1 (1 - 1)

A: Inverse trigonometric functions are defined by the inverse of the basic trigonometric functions such…

Q: Find the exact value of each expression. tan 19 π/12

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: Evaluate each expression without using a calculator, and write your answers in radians.       sin -1…

A:

Q: Find the exact value of each expression. Tan (-5π/12)

A:

Q: Evaluate the given expression without the aid of a calculator X +1 tan[arcsin(- 6.

A: Using , sin-1x=tan-1(x1-x2)

Q: Find the exact value of each expression. sin 285°x sin 75°

A: Given expression: sin285∘sin75∘

Q: Find the exact value of each expression.Do not use a calculator. tan-1 1

A: The value of tanπ4 is equal to 1. Also, tan-1(tan x)=x

Q: find the exact value of each expression.

A: The given expression is csccos-1-32.We know that cos-1-32= 5π6.and csc5π6 = 1sin5π6 = 112= 2.

Q: Find the exact value of each expression .

A: Explanation Given that,  tan-13

Q: find the exact value of each expression.

A: Let sin-113=θsinθ=13 Finding tan from this: tanθ=19-1tanθ=18tanθ=122

Q: Find the numerical value of each expression. 1) Sinh 1  b) Sinh-11

A: a). By the definition of sinhx, we have sinhx=ex-e-x2 Now put x=1 in the above equation, we get…

Q: Find the exact value of each expression. (a) arctan (1) (b) sin-' (1)

A:

Q: Use the even–odd properties to find the exact value of each expression.Do not use a calculator.…

A: the given expression is: tan-30° we have to use the even–odd properties to find the exact value of…

Q: Find the exact value of each expression. sin π/12.

A: The given expression sinπ12.   Half angle formula: sinx2=±1-cosx2

Q: Find the exact value of each expression, if it is defined. (If an answer is undefined, enter…

A: t

Q: Find the exact value of each expression .tan-10

A: We have to find the exact value of the expression tan-10.

Q: Find the exact value of the following expression, if possible. Do not use a calculator. sin (sin x)

A: The value of sin-1(sin x)=x, only for -π2≤x≤π2

Q: Find the exact value of each expression. tan -1  (1/ sqrt 3)

A: Given expression is tan-113. We have to find value of given expression. Let θ=tan-113…

Q: Find the exact value of each expression. cos 285°x cos 195°

A: To Determine:  Find the exact value of each expression. cos 285∘×cos195∘ Given : we have cos…

Q: Find the exact value without using a calculator. 5 T 11) tan 6.

A:

Q: Find the exact value of each expression.

A: Given expression is sin-1-22

Q: If 0 = 315°, find the exact value of each expression below. (a) cos (-0) = (b) cos e = 0 mun (c) 2…

A:

Q: Complete the proof of the identity by choosing the Rule that justifies each step. tanʼx (csc?xr- 1)…

A:

Q: Find the exact value of each expression.

A:

Q: Find the exact value of each expression.

A: We have to find the exact value of the following expression -  tansin-145 + cos-11

Q: Find the exact value of each expression . tan-1(-1)

A: Our Aim is to find the exact value of the expression given below:-tan-1 (-1) -(i)

Q: Find the exact value of each expression: (i) sin (1) (ii) tan-1 V3

A: (i) Given-  sin-11  (ii) tan-13 To find- The exact value of the expression.

Q: Find the exact value of each expression. arctan 1

A: tan-11

Q: Find the numerical value of each expression a . sinh 1            b.sinh -11

A: Given. a . sinh 1            b.sinh -11

Q: Find the exact value of each expression. If the value does not exist, briefly explain why.…

A:

Q: Find the exact value of each expression. 1. 3 sin - 2.

A:

Q: Use a calculator to find the value of the following expression rounded to two decimal places. tan…

A:

Q: Evaluate the given expression without the aid of a calculator x + 1 tan[arcsin(- 6.

A:

Q: Find the exact value of each expression: sin-1(1)

A: Given the expression sin-1(1). We need to find the exact the value of the expression.

Q: Find the exact value of each expression. sin -1   ( sqrt 3/2)

A: Given  The expression is sin-132 .

Q: valuate each expression without using a calculator. 1. tan(arccos-) 2. cos(2 arctan(-2)) 3.…

A:

Q: Find the exact value of each expression. sin -1  (1/ sqrt 2)

A: Given:sin-112

Q: Find the exact value of the given expression, without using a calculator. 12 Cos tan

A:

Q: Find the exact value of each real number y if it exists. Do NOT use a calculator. 1. y = arccos(- 2.…

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.