Evaluate each expression without using a calculator, and write your answers in radians.       sin -1 0

Q: cot(x) sin(x)=| sin(x) csc(x) =| sec(x) cos(x)= %3D

A: Given: cot(x)sin(x)=?we know that cot(x)=1tan(x)=cos(x)sin(x)so,…

Q: write each trigonometric expression as an algebraic expression in u. sin(cos-1u)

A: Solution: Consider the given trigonometric expression is: sincos-1u Let  θ = cos-1u⇒cos θ = u Now,…

Q: Vrite each trigonometric expression as an algebraic expression B) csc cosx

A: Use the trigonometric identities and inverse trigonometric identities.

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

A: we know that value tan-1-1=-tan-11

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

A: Consider the given expression: tan-11 Let tan-11=x, Solve:…

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

A: Given: sin-132 we know that domain of sin-1x is x∈-1,1

Q: Find the exact value of each expression. Sin (7π/12)

A:

Q: uate each expression, express your answers in radian. 1. cos-1 2. sin-(-1)

A: topic - Inverse trigonometric functions

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

A:

Q: Find the exact value of each expression. (Enter your answer in radians.) (a) arctan v3 (b) sin

A:

Q: Write each expression in terms of sines and/or cosines and then simplify.…

A: 1) Given expression,                   sinXcscX - secX cosX

Q: Convert each of the following. a. Convert 400° to radians. b. Convert -to degrees.

A: Conversion degree to radian and radian to degree.

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; cos( - 120°)

A:

Q: write each trigonometric expression as an algebraic expression in u.

A:

Q: Find each function value . sin(-123°)

A: The given expression is sin(-123°)

Q: Find the exact value of each expression.

A:

Q: Find the exact value of each expression .

A: To find the exact value of the expression: sin-122 Solution: Principal range of the function sin-1x…

Q: Find the exact value of each expression (enter answers in radians). sec-1(2/sqrt(3)

A: let x=sec-123secx=231cosx=23Taking reciprocal on both sidecosx=32   we know thatcosπ6=32…

Q: Rewrite each expression as a product. Simplify if possible.    sin 7x + sin 3x

A: Given- sin7x+sin3x To rewrite- above expression as a product. Formula used- The formula…

Q: Find the exact value of each expression.

A: Given expression is sin-1-22

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

A: Given that θ=0.

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

A: We need the Pythagorean theorem

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

A:

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

A: The domain of a function is the set of input or argument values for which the function is real and…

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

A:

Q: Simplify each expression. Cosx sinx 1. sinx Cosx

A: This question is based on simplification of Trigonometric identities.

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

A: Given information:

Q: Use a calculator to approximate the value of the expression, if possible. Round your result to two…

A: Simplification

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

A:

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

A: The given expression is cos-1(-1). Consider cos-1(-1)=y Now take cos both sides. coscos-1(-1)=cosy…

Q: Write each expression as a product.  sin3θ+sin10θ

A:

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

A: We have to find the exact value of the expression: sin-1 12 We know that sin-1 sin x=x where x∈-π2,…

Q: Convert -250° from degrees to radians. Give the answer in exact form in terms of Tt. -250° =

A: Given  - 250 degree to convert in radian We use  1 rad = 180/π degree

Q: Evaluate each expression.     sin sin (1/2)

A: Consider the given expression, sinsin-112 use the inverse trigonometric property, sinsin-1θ=θ

Q: Write each using only the indicated function a) cos? x – 2 sin x; use sine b) cos(x) – 2 sin² x; use…

A: To write cos2x−2sinx in terms of sine only. To write cosx−2sin2x in terms of cosine only.

Q: Write each expression in terms of sine and cosine, and then simplify so csc 2(-0) - 1 1- cos 2(-0)…

A: Csc(x) =1/sin(x) and 1-sin2x=cos2x

Q: 13. cos 59°

A: Use ist quadrant

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

A: Given:cos12

Q: Write each expression as a single trigonometric function.   sin 8x cos 7x - cos 8x sin 7x

A: According to the trigonometric formula: sin (A-B)=sin A cos B-cos Asin B

Q: Write each trigonometric expression as an algebraic expression. 17) sin tan-' x 18) csc cot-' x 19)…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Simplify each expression using the fundamental identities sin2 sec2r-1

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: Write each trigonometric expression in terms of a single Trigonometric function. 2 tan 3a 1- tan2 3a

A: Consider  2tan(3x)1-tan2(3x)

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.