Evaluate each expression below without using a calculator. (Assume any variables repre-sent positive numbers.)   sin( tan -1 2- cos  -1 1/2)

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

A:

Q: Write each expression as an equivalent algebraic expression involving only x. (Assume xis positive.)…

A: Given: sin2tan-1x for solving this we assume tan-1x=θ and use formula sin2x=2sinxcosx so, tanθ=x…

Q: Rewrite the expression cos(α + β) cos β + sin(α+β) sinβ as a simplified expression containing one…

A: The given expression is cos(α + β) cos β + sin(α+β) sinβ   ...(1)we know that ,…

Q: A. Simplify each of the following expressions. 1. sin?xcotxcscx cotx(sinx+tan.x) cscx+cotxr 3.…

A: 2. cotx sinx+tanxcscx+cotx4. 1-tan2x1+tan2x+1

Q: Use the appropriate triangle or trigonometric identity to rewrite the following as an algebraic…

A: Note: As per our guidelines, we are supposed to answer only one question. Kindly repost the other…

Q: Without using a calculator, evaluate the following expression shown or state that the quantity is…

A: We know that

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

A:

Q: Evaluate each of the following: (a) sin –660° (b) sec 10350 (c) tan 480°

A: (a) Given: sin-660°

Q: Evaluate or simplify the following expression as shown without using a calculator.

A:

Q: Write each expression in terms of sine and cosir expression and all functions are of 0 only. cscU-…

A: Use the trigonometric identities and simplify the expression.

Q: Evaluate the expression without using a calculator and write your answer in radians. sin-1 rad

A: Solution

Q: Evaluate each expression below without using a calculator. (Assume any variables repre-sent positive…

A: The given expression is cosarctan12+arcsin12

Q: Let x = 30 0 and y = 45 0 in each of the expressions that follow,and then simplify each expression…

A:

Q: 7. Evaluate each expression. (a) sin? 120° + cos² 120°

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: each expression. sec x с. 1+cos2 x

A:

Q: Use identities to simplify the following expression. Do not use a calculator. sin 4° 1+cos 4

A:

Q: Evaluate the expression below without using a calculator. cos 2 tan-11)

A: Solved below

Q: Find the exact value of each expression. 1. V3 sin - 2.

A: Given:- 1. sin-132 2. sin1020° To find:- Exact value of given trigonometric function

Q: Evaluate the expression below without using a calculator. con(tan- V3 + cos-1 2

A: Given expression is : costan-112+cos-132 To find the value of the given expression.

Q: Evaluate or simplify the following expression as shown without using a calculator.

A: Given sin-1 32 Let θ=sin-1 32 This implies sinθ=32 where θ∈-π2,π2 the range of inverse sine function…

Q: Evaluate the following expression. tan(sin^-1(x))

A:

Q: 10. sin | tan-' 2 – cos 2, -1

A: We use inverse Trigonometry identities   sin(2a)=2 sin(a) cos(a)

Q: Without using a calculator, evaluate, if possible, the following expression. 4π 3 sin sin ...

A: We will find the value.

Q: #6. Write each using only the indicated function a) cos? x - 2 sin x; use sine

A: We need the Pythagorean theorem

Q: Show that each of the following is true. sin (x + 2pi) = sin x

A: We have to show that: sinx+2π=sin x We know sum formula for sine function, sinA+B=sin A cos B+cos A…

Q: Rewrite the expression algebraic expression in x: -1 tan cos as an

A: We know that ,  In a right triangle ,  cos A = adjacent / hypotenuse  And  tan A = opposite /…

Q: Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in…

A: tan(θ)=sin(θ)cos(θ) sec(θ) = 1cos (θ) tan2 θ + 1 = sec2 θsec2 θ − 1=  tan2 θ

Q: Use a calculator to evaluate each expression to the nearest tenth of a degree.         sin  -1…

A: Consider a trigonometric expression: sin-10.6446……1

Q: Evaluate the expression cos-1(sin(pi/3))

A:

Q: Write an algebraic expression that is equivalent to the given expression. tan(cos-1(x/6))

A: Given The expression is tan(cos-1(x/6))

Q: sin-1 V2 b. cos12 1.

A:

Q: Write each expression as an equivalent algebraic expression involving only x. (Assume xis positive.)…

A: Since, we have been given taht sin (2 cos-1x) (where x is positive)Let we assume that α=2 cos-1x and…

Q: evaluate the expression cos-1(sin(pi/6))

A: evaluate the expression cos-1(sin(pi/6))

Q: Evaluate the following expressions exactly (that is, do not use a calculator). Type DNE if it is not…

A: Question is solved.

Q: Evaluate the expression below without using a calculator. cos 2 tan-1 2 tan-12)

A:

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

A:

Q: Evaluate or simplify the given expression. cos(2 sinx)

A:

Q: Evaluate each of the followi (a) tan 210° (b) sin 750° (c) sec(-1200º)

A: (a).                   tan (210)°             Since our angle is greater than 180 and less than or…

Q: 4 Determine the exact value of each of the following expressions. (a) sin(20)

A:

Q: Evaluate or simplify the following expression without using a calculator. sin-1 1-12

A: sin-1-1

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: Evaluate the expression without using a calculator. (an() am(증) () sin 3 + csc 4 6 5

A:

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

A:

Q: Evaluate each expression below without using a calculator. (Assume any variables repre-sent positive…

A: Since, we have to evaluate the expression given below:-sin sin-135+tan-12Let sin-135=α and…

Q: Use a power-reducing identity to rewrite the following expression below in terms containing only…

A: Solution is given as below:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.