State the correct property of the function sin (x)

Q: Use inverse trigonometric functions to find the solutions of the equation that are in the given…

A: We will use the substitution sinx= t to find the solutions.

Q: How do you solve this and can you show me step by step?

A: Given: find the value of

Q: sin 20 + cos 20 = cot x tan x

A: Prove this using a right angled triangle and the pythagorean identity.

Q: Prove the identity. 1 (1- sinx)(1+ sinx) = 1+ tan´x Note that each Statement must be based on a Rule…

A: The identity is given to prove with help of algebra, reciprocal, quotient, Pythagorean, and…

Q: What basic trigonometric identity would you use to verify that sin x+ cos x = sec x? COSX sinx =…

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Q: Evaluate the trigonometric functions at the special angles. Match the function with its value. 1.…

A: ⊙ tan(210°) = tan(180°+30°)                        = tan(30°)…

Q: Find the exact value of the expression. Not a decimal. sec [sin ^-1 (1/2)]

A: Given that we need to find the exact value of the expression  sec[sin-1 (1/2)] As we know that  sin…

Q: 7. (sin x + cos x)² = 1 + 2 sin x cos x

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Q: Find the exact value of the trigonometric function sin (- π/4 - 2000 π). Do not use a calculator.

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Q: cot(sin^-1(8/9)) Give exact answer

A: Given, cotsin-189

Q: 5. Verify the following identity using properties of even and odd functions. State the properties…

A: The given identity to be verified is,

Q: ch expression is equal to tan² x sin² x using identities? X tan² x + sin² x

A: Please refer to the image below

Q: What is sin x

A: To explain about sin x

Q: Find the exact value of the expression. m(sin-() – cos-1()) COS

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Q: (cot β-tan β) • sin2 β

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Q: Find the exact value of the expression, if possible. Do not use a calculator. sin (sin -(-0.6)…

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Q: True or False: sin- (sin æ) = x for all possible values of x. True False

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Q: given sinx=4/5, pi/2<x<pi. Find the exact value of tan(x/2)

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Q: Find the exact value of the expression. not a decimal Cos [Sin^-1(-1/2)]

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Q: Find the six trigonometric functions of θ if θ is in standard position and the point (3, −2) is on…

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Q: Use identities to fill in the blank. 2 then - sin (-0) = 3' If sin 0 = - sin (-0) = (Type an integer…

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Q: Find the exact value of sin θ  and sec θ  when tan θ  =3/4 and sin θ  < 0.  Do not use a…

A: Given Data: tan θ  =3/4 The figure below represents the reference right angle triangle.

Q: True or False sin( - θ) + sin θ = 0 for any value of θ.

A: To check: Whether sin-θ+sin θ=0 is true or not for any value of θ. Concept used:  Trigonometric…

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

A: Given: To verify: The given identity.

Q: tan² x 1. Simplify: - 1+secx 2. Simplify: cot? x (sin² x) 3. Verify: sec²x cot x – cot x = tan x

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: sin(X)=3/5, X lies in 1st quadrant. Find tan(X)

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Q: –1 Will sin (sin- x) result in the same answer as sin- (sin x)? Explain your answer.

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Q: sin (sin " ()-cos *(4)-cos " (4). sin sin

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Q: Determine the values of the trigonometric functions of 0, where sin 0 = and cos 0> 0. 13 cos 0 =…

A: Given query is to find the value of 6 trigonometric functions.

Q: Find the exact value of the expression. sin sin -1 12 + tan sin sin 13 + tan 12 (Type an exact…

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Q: single trigonometric 2. Simplify sin (3x) cos (4x) + sin (4x) cos (3.x). Express your answer as a…

A: To simplify sin3x cos4x+sin4x cos3x. To express the answer as a single trigonometric function.

Q: tan(sin^-1 (v)) as an algebraic expression in v. Please show

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Q: the terms of sine and cosine and simplify tan^2 x - sec^2 x

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Q: sin-'x - cos-1x = " Find the value of x

A: Given that sin-1 (x)-cos-1 (x)=π6, Our Aim is to find the value of x=?

Q: 3. Find the exact value of sin cos - cos sin . 4. Find the exact value of cos cos + sin sin .

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

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

Q: Rewrite sin(x+π/6) in terms of sin x and cos x.   Enclose arguments of functions in parentheses.…

A: We know that        sin A+B =sin A cos B+cosA sin B           sin x+π6 =?         A=x…

Q: Use trigonometric identities to simplify the expression. 1/sec2(x)+sin(x)cos(π/2−x)

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Q: identity. Verify that this equation is an 13) tan x(csc x - sin x) = cos X %3D

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Q: Identity or Equatio 2 cos x = 1- sin x Equation tan“ x - 2 sec? x = 1 Equation

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Q: Prove the identity. sinx/1+cosx +1+cosx/sinx = 2 cscx Note that each Statement must be based on a…

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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: sin0 - sece 8) cos0- csce 9) tan? 0 - cot? 0 1+ sine 1-sine 10) 1- sine 1+sin0 1 1 11) 1- sine 1+…

A: Question Number 8 Given expression sin θ - sec θcos θ - csc θ

Q: Write the composed trigonometric function sin (arctan x)sin (arctan x) in terms of x. Explain your…

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Q: Verify the identity: sin3θ = 3 sin θ - 4 sin3θ.

A: To prove, sin3θ=3sinθ-4sin3θ

Q: cosx/1+sinx - 1-sinx/cosx = 0

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Q: #4 Write tan (sin-1 x), |x| < 1, as an algebraic expression in terms of x. Explain your answer.…

A: Given data is: To write tansin-1x, x&lt;1, as an algebraic expression in terms of x.

Q: Prove the identity. sin (x+y) + sin (x-y) =2 sinx cosy Note that each Statement must be based on a…

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Q: exact value of tan 195

A: Our Aim is to find the exact value of tan 195°=?

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.