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

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

A:

Q: Determine whether the statement is true or false. Justify your answer.

A: We have to state whether the following statement is true or false.

Q: Reduce sin 0 to an expression involving only function of multiples of 0, raised to the first power.

A: Given, sin4θ  We have to reduce sin4θ to an expression involving only function of multiples of θ,…

Q: Write the expression as an algebraic expression in x for x > 0: tan(sin' x)

A: NOTE: Refresh your page if you can't see any equations. . consider the right angle triangle in the…

Q: Use a sketch to find the exact value of sec(sin-1 1/2).

A: Now

Q: The least positive value x for which tan x= 0 is

A: Question is from trigonometry  And it is a well known fact that tan x = 0 only when x = nπ , where n…

Q: Establish the identity. sin =1- sin x

A:

Q: Find the function values sin2 π/12

A:

Q: Evaluate tan 0 sec 0 de. Show your steps, and express the final answer in terms of 0.

A:

Q: Find The value of tan V3 - sec "(-2) |

A:

Q: 3. sec-1 -tan- 4

A: Given: sec-1(-tan3π4)

Q: The expression 1 + tan² x is equivalent to

A: Here given expression 1+tan²x we know that tanx = sinx/cosx and sin²x+cos²x=1 So tan²x = sin²x/cos²x…

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

A:

Q: simplify as much as possible (tan x - sec x )2

A: We have trigonometric expression as

Q: Use a sketch to find the exact value of the expression sec [sin-1 (- 1/4)]

A: Let y=sec[sin-1(-1/4)]  perpendicular=-1 hypotenuse=4 base=-(-1)2+(4)2=15

Q: Find the exact value. sec (-2pi)

A:

Q: Verify that the equation is an identity. tan x- sec*x =1-2 secx

A: We will use the following identity: sec2θ = 1 + tan2θ

Q: Find all solutions of the equation. tan'x - 81 tanx = 0

A:

Q: Find the value of  x tan-1 2x + tan-1 3x = (π\4)

A:

Q: Write the expression as an algebraic expression in x for x> 0: tan(sin x)

A:

Q: Simplify cos(tan^-1(x/2

A: Consider tan-1x2 as θ, and write tan θ as tan θ=OppositeAdjacent. To find the hypotenuse of the…

Q: Use a sketch to find the exact value of:

A:

Q: Show that the equation tan(x)=1−x has a real solution.

A: Using Newton raphson method.

Q: Find the function values sin2 3π/8

A: we have to find the value of the given trigonometric function. sin23π8

Q: Find the function value. tan 115°

A: We have to  find the value of the function tan115°. Then, tan115°=tan90°+25°=-cot25°=- 2.144506

Q: 3. sec-1 -tan

A: Given,

Q: Determine if the statement is true or false. tan  2A/ 2=  tan A

A: Given expression: tan2A2=tanA Tale left hand side the given expression: tan2A2 We know that…

Q: Write sec x in terms of tan x

A:

Q: Simplify sin(tan^-1(x/2))Simplify sin(2tan^-1(x/2))

A: according to given information we have to find different partspart-1

Q: simplify  sin(tan^-1(x))

A: Here we simplify sintan-1x

Q: Simplify the expression dz tan sec r tan2 x -1

A: we know tan2x=sec2x-1. so in equation (sec2x-1)/(1-sec2x) = -(sec2x-1)/(sec2x-1) =-1

Q: Rewrite sin x + in terms of sin(x) and cos(x). 3

A: We will use the below trigonometric identities to solve this

Q: Sec(tan

A: The given expression is sectan-13

Q: Use substitution to determine whether the given x-value is a solution of the equation: tan x = √3, x…

A: Solution;- Use substitution to determine whether the given x-value is a solution of the equation:…

Q: Find the exact value of the expression. Show work.

A:

Q: X - Find an algebraic expression for : sin(tan-1x– cos-1)

A: In the given question we have to find the algebraic expression for the relation sintan-1x-cos-1x2.…

Q: Find (x*sin (2))'.

A: Given,         x4sinx'

Q: Evaluate tan° (x) sec* (x)dx in the two different ways indicated.

A:

Q: 3. tan-'(x +) 2 4

A:

Q: Use a calculator to solve the equation tan x = -3, correct to four decimal places, on the interval…

A: Given- tanx=-3 To find- The solution of the above trigonometric expression correct to four decimal…

Q: Verify: cos? x tan? x- 1 1. -1 cos2 x

A:

Q: Find two values of θ, 0 ≤θ <2π, that satisfy the equation tan tan θ = -√3.

A: Given:tanθ=-3

Q: write cos x in terms of tan x  1 + tan2 x = sec2 x

A: We write cos x in terms of tan x    1 + tan2 x = sec2 x

Q: tan(sin'x) is ... The simplify of

A: Given expression is Let us suppose Now, Therefore,

Q: Solve the equation below. tan x + 2 sin x = 0 if 0 < x < 2n.

A: tan x+2 sin x=0 , 0≤x≤2π

Q: What are the two formulas for tan (A/2)

A: tanA2

Q: Find the exact value of the expression. sin [tan -1(-4)]

A: Consider the given expression sin [tan-1(-4)]

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.