Evaluating a Trigonometric Expression In Exercises 35-40, find the exact value of the expression. 35. sin 5 cos + cos 4 12 sin 12 36. cos sin 16 16 sin cos 16 16 37. cos 130° cos 10° + sin 130° sin 10° 38. sin 100° cos 40° – cos 100° sin 40° tan(97/8) – tan(1/8) 39. 1 + tan(97/8) tan(1/8) tan 25° + tan 110° 40. 1 tan 25° tan 110°

Q: sin cos tan !! 3D

A:

Q: 2

A:

Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: You are absolutely correct buddy. I will try to solve the problem differently so that you can get…

Q: (종) sin

A: To determine the value of sin π6

Q: Evaluating an Inverse TrigonometricFunction In Exercises 77–80, find the exact value ofthe…

A: Consider the given trigonometric expression arcsin-1 Suppose y be the given trigonometric…

Q: Verifying a Trigonometric Identity InExercises 57–60, verify the identity.

A: tan(sin-1x) = x/√1 - x2   Let sin-1x = y               x = siny   LHS = tany   RHS = x/√1 - x2…

Q: Using a Calculator In Exercises 59–62, use acalculator to evaluate the trigonometric function.…

A: To evaluate the trigonometric function. 59. sin106°. Evaluating the value of sin106°.…

Q: sin(sin? 3.

A: Answer

Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A:

Q: Using an Inverse TrigonometricFunction In Exercises 39–44, use aninverse trigonometric function to…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: verify the identity    2cot2x= cotx- tanx

A: To verify: 2cot2x=cotx-tanx Solution: We know that cotθ=1tanθ And we have formula,…

Q: sin (In (x))x

A:

Q: Think About It In Exercises 67–70, explain why theequation is not an identity and find one value of…

A: We'll answer the first question only since the exact one wasn't specified. Please submit the new…

Q: Rewrite sin ( tanu) as an algebraic expression in u. sin (tan"u) = [) %3D

A:

Q: sin·

A:

Q: Establish each identity.

A: Given identity is  sin4θ+sin2θcos4θ+cos2θ=tan3θ

Q: = cot-" (2), a > 0 sin at Prove that L() = cot™

A:

Q: Verifying a Trigonometric Identity InExercises 57–64, verify the identity.

A: Draw the diagram to represent the polar coordinates of a point in a cartesian plane. Polar…

Q: Establish the identity sin (α+ β) sin (α-β) tan α + tan β tan α-tan β Choose the sequence of steps…

A: sin (alpha + beta) = sin (alpha) * cos (beta) + cos (alpha) * sin (beta)

Q: Sin.

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: sin(105°)

A: Given :sin( 105 )

Q: Verify the identity. 1 + sin(x) 1 - sin(x) 1- sin(x) 1 + sin(x) 4 tan(x) sec(x)

A:

Q: Converting to Sines and Cosines InExercises 31–36, verify the identity byconverting the left side…

A:

Q: sin

A:

Q: 1-sin0 sec0-tan 0 Cos e

A:

Q: sin @ 225

A: We have to find value of sin(225∘)

Q: sin aX

A:

Q: Trigonometric Substitution In Exercises 59–62,use the trigonometric substitution to write the…

A: Our Aim is to write algebraic equation as a trigonometric equation of θ,where -π2 <θ< π2,…

Q: Verifying a Trigonometric Identity InExercises 37–42, verify the identity.

A: Since you have posted multiple questions we solve the first three for you please resubmit the…

Q: sin(tan-(x))

A:

Q: Error Analysis Describe the error.sin θcos(−θ) = sin θ−cos θ= −tan θ

A: Error Analysis Describe the error.  sinθcos-θ=sinθ-cosθ=-tanθ

Q: In Exercises 63–65, determine whetherthe statement is true or false. Justify your answer.63. tan x2…

A: (63) Consider the given equation as tanx2=tan2x

Q: sin < -; tan 8

A:

Q: Approximating Solutions In Exercises 75–78, usea graphing utility to approximate the solutions of…

A: As per guidelines, we are supposed to solve only first 3 subdivisions. Please repost the other…

Q: 2. sin ß =- Sin?A ISinz Sin 4. tan B =

A: Given,           sinα=-817,    π≤α≤3π2           cosβ=23,        3π2≤β≤2π

Q: Determining a Quadrant In Exercises 19–22,determine the quadrant in which θ lies.19. sin θ &gt; 0,…

A: It is given that, sinθ&gt;0    cosθ&gt;0

Q: tan x sin x sin x Verify the following identity. tan x-sin x 1-cos x

A: To prove that  tan x sin xtan x-sin x=sin x1-cos x

Q: How do I subtract (sinϴ-1)/(cosϴ) - (cosϴ)/(sinϴ-1). Show work

A: We have given expression to subtract  Let, y=sinθ-1cosθ-cosθsinθ-1 y=sinθ-12-cos2θcosθsinθ-1 Using…

Q: Using a Calculator In Exercises 75–90,use a calculator to evaluate the trigonometricfunction. Round…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Approximating Solutions In Exercises 49–58, use agraphing utility to approximate (to three decimal…

A: 49) Given that, 5sinx+2=0

Q: Verifying a Trigonometric IdentityIn Exercises 19–24, verify the identityalgebraically. Use the…

A: (19). 1/tan θ + 1/cot θ = tan θ + cot θ   LHS : = 1/tan θ + 1/cot θ = (cot θ + tan θ)/tan θ cot θ =…

Q: Using Inverse Properties In Exercises45–50, find the exact value of the expression,if possible.45.…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Rewrite the expression as an algebraic expression in x. sin(tan-1(x))

A:

Q: Verify the identity: (tan2 x - cot2 x)/(tan x + cot x) = tan x - cot x

A: The given identity is tan2x-cot2xtanx+cotx=tanx-cotx

Q: Fill in each blank so that the resulting statement is true.

A: DeMoivre's formula s used to solve the problems in which a complex number is raised to some power. A…

Q: Evaluating a Trigonometric ExpressionIn Exercises 41–46, find the exact valueof the trigonometric…

A: Given: sinu=-3, cosv=15 We know that range of sine and cosine function is -1,1 here, sinu=-3,…

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.