How does ±√((csc^2x-1)/(csc^2x)) equal on of these: secx, cosx, sinx, tanx, cotx, cosx, or 1

Q: How do I simplify (9-sin(x))(4-3cos(x))-(9cos(x))(3sin(x))

A: Given that: (9-sinx)(4-3cosx)-(9cosx)(3sinx)

Q: Verify the identity. sin (7x) – sin (3x) = - cot (5x) cos (7x) - cos (3x) ..... Start with the…

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Q: Verify that (sinx-cosx)2=1-sin(2x)

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Q: Please help me verify this identity: (sinx + cosx)^4 = (1 + 2sinx cosx)^2

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Q: compute tan π/8, if tanx = sin2x / (1+cos2x)

A: To compute tan π/8, if tanx = sin2x / (1+cos2x)

Q: 8. cos x+- +sin x- 3 6.

A: According to the guidelines I have to solve only first question. We can solve this problem…

Q: Verify the identity. sin (3x) - sin (9x) cot (6x) cos (3x) - cos (9x) Start with the numerator of…

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Q: How would I simplify (1-sin2x)secx?

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Q: Verify the identity. sin 3x = 3 sinx – 4sin'x %3D

A: We have to verify the identity: sin 3x=3 sin x-4 sin3 x Taking LHS, we get LHS=sin 3x=sin 2x+x We…

Q: Which expression is equal to sec⁡xsin⁡xcot⁡x+tan⁡x using identities? sin^2x cos^2x -cos^2x

A: As per your question no any option matched...but for x=0 one option is satisfying...and that option…

Q: Verify the identity. cos 3x + cos x = 4 cos3 x - 2 cos x Working with the left-hand side, use a…

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Q: It is true that sin (3pi/2)=-1. Explain why arcsin (-1)≠(3pi/2)

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Q: IT – sin 8. 2 Simplify cos - 8.

A: Given: (1)   cos2π8-sin2π8 (2)  2sin13∘ cos13∘

Q: Verify identity tan2 2x + sin2 2x + cos2 2x = sec2 2x.

A: To verify: tan2 2x + sin2 2x + cos2 2x = sec2 2x WKT cos2x+sin2x=1 x refers to any number, Replace x…

Q: (cos2x+sin2x)+1=2  ?

A: According to the given question, cos2x+sin2x+1=2 we have to prove L.H.S=R.H.Swe take L.H.S

Q: So inverse sine would be a/2 not square root of x^2-64/x.

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Q: 1. tanxsins + cosx = secx

A: using trignometric identities:-

Q: (sinx + cosx)^2 = 1+sin(2x

A: Consider the given expression sinx+cosx2

Q: Find given - cosx sinz

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Q: Give 2 examples on Evaluating Inverse Trig Functions using Sin difference Identities

A: Topic :- trigonometry

Q: tan + cosxtan sinx %3D

A: SOME TRIGONOMETRY FORMULAS: 1.)cos2x= cos2x- sin2x2.) cos(2x)= 2cos2x-13.)cos(2x)=…

Q: What is cosx+tanx over sinx

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Q: (7cosx-sinx)2 + (cosx+7sinx)2 = 50 Verify the identity.

A: Given,

Q: 14. Using the identities, find tanx and cscx if secx = 5 and sinx <0 %3D

A: Given that        Sec x = 5 and sin x &lt; 0 We have to find the value of tan x and csc x.

Q: Find sin 8x given that tan 4x 24 and <,x < 4 - 8.

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Q: Evaluate sin (3x) dax

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Q: Evaluate: lime 1-sin 8+cos 8 sin 20-cos 0

A: Given expression is, limθ→π21-sin θ+cos θsin 2θ-cos θ. The L'Hospital rule states that…

Q: Hiw/ By using inverse fumction find : Sin(2z)=

A: Given: sin z+i =4i

Q: How do I simplify 1+cotx/sinx+cosx?

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Q: 3. Which expression is equal to O - cos²x sin² x O - sin²x O cos²x secx sin x cotx+tan x using…

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Q: Explain why sin-1 3 is not defned.

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Q: Use Simpsons 1/3 rule to find sinx

A: Please refer to the image below

Q: 1° cos(3r) dr COS

A: Given, ∫x2cos3xdx  We have to evaluate the integral.

Q: Determine the values of θ if 0 ≤ θ ≤ 2π given that cosx = − 0.3178. Explain the process.

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Q: Verify the identity. sin (7x) - sin (3x) = - cot (5x) cos (7x) - cos (3x) Start with the numerator…

A: As we know that; The trigonometric identities: 1). sinA-sinB=2cosA+B2sinA-B22).…

Q: Simplify 3 TT sin-(sinx) if TSXS 2 - -x- T ーX π-X x- π

A: Given, To solve  sin-1(sinx)  if π≤x≤3π2

Q: cscsquared x/2= 2/1-cosx verify and show steps

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Q: V2. Equivalent of sin45 ° + cos60 ° is which one?

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Q: Determine the values of θ if 0 ≤ θ ≤ 2π given that cosx = − 0.3178. Explain your process.

A: Here we have to find the value of the given eqaution.

Q: Find sin(2θ) if tan(θ) = 2/3

A: Consider the given trigonometric equation:

Q: What happens when you try to find A for sin A = 1.234 on your calculator? Why doesit happen?

A: What happens when you try to find A for sin A = 1.234 on your calculator? Why does it happen? Given…

Q: What is the equivalent to sinθtanθcscθ for all values of θ for which sinθtanθcscθ is defined?

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Q: simplify.

A: Given

Q: Prove sinxtanx + sinx tanx 1 cosx is an identity.

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Q: please show all steps of how to verify identity  (1-cosx)/(sinx)   +   (sinx)/(1-cosx)  = 2cscx

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Q: To evaluate sin 0 do , factor sin*0 as (sin²0) ² sin® and let sin²0 = -(1- cos20). A True В False

A: To evaluate: ∫sin5θdθ Let I = ∫sin5θdθ ⇒I = ∫sin4θsinθdθ

Q: 9. Simplify. sin-cos -

A: Simplify

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.