Evaluate each expression without using a calculator, and write your answers in radians.       cos (1/2)

Q: Evaluate each expression without using a calculator                                         (a)…

A: Use the formula  Then

Q: Evaluate each expression without using a calculator.

A: we have to evaluate the given expressions: a) sinarcsin12 b) cosarcsin12

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: Evaluate the expression without using a calculator and write your answer in radians. sin-11 (주)- rad

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: 1+tantan 30) 1+cotcot x

A: Given: y=1+tantanx1+cotcotx We know that cotθ=1tanθ…

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 (a) sec[arctan(−3/5)]        (b)…

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

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

A:

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

A:

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

A: The given expression is cosarctan12+arcsin12

Q: Analyze each equation and graph it.

A: r=11+cosθ The given polar equation is represents the parabola.

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

A:

Q: Analyze each equation and graph it.

A: The given polar equation is r=82+4cosθ. Rewrite as follows. r=82+4cosθ=821+2cosθ=41+2cosθ=221+2cosθ…

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: Fill in each blank so that the resulting statement is true. The largest possible value for the sine…

A: We have to fill in the blanks.Question is given below:

Q: Find the exact value of each expression.

A:

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

A: To write the given trigonometric expression as an algebraic expression: sincsc-1u Solution: Let…

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: Evaluate the expression without using a calculator and write your answer in radians. arctan (-√3/3)…

A:

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: Find the exact value of each expression.

A:

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

A:

Q: Evaluate the expression without using a calculator and write your answer in radians. sin^-1(- √3/2)…

A:

Q: Write each expression as a single trigonometric function.   cos 5x cos x - sin 5x sin x

A: cos Acos B-sin A sin B=cos(A+B)

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: 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: Convert each of the following to radians without using a calculator.       330  0

A: 330°

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

A: Given: sin( tan-12-cos-112)

Q: Use your graphing calculator to determine if each equation appears to be an identity ornot by…

A: Given:        sec A - cosec A = cos A - sin A cos A sin A   To verify the given equation is an…

Q: Find the Value of each COS 28T

A:

Q: e) Express 150° and 1° in radian.

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

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: Find the exact value of each trigonometric expression below

A: sin345°   sin345°  =  sin(360-15)°               = -sin15°        (as  sin( 360 + x) = -sinx)…

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: Find each function value cos 72°

A: Given function: cos 72°   Formula used : Cofunction identity cosx=sin90-x

Q: 13. cos 59°

A: Use ist quadrant

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

A:

Q: Write each function value in terms of the cofunction of a complementary angle. Cos (π/12)

A:

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

A: Given: cosarcsin45-arctan2

Q: Write each trigonometric expression as an algebraic expression. 19) sec cot-x -1 20) sec cos

A: Given:               sec cot-1x=?   Writing the trigonometric expression as an algebraic…

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

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.