By using the addition formula derive the identity of the function sin (x -), then choose the correct answer: a) cos x b) - cos x c) cos d) – cos

Q: Use addition formulas and the values of sin θ and cos θ for θ = π/3 , π/4 to compute sin π /12 and…

A: To calculate sin π /12 sinπ12=sinπ3-π4=sinπ3cosπ4-cosπ3sinπ4=32·12-12·12sinπ12=3-122

Q: Verify that the equation is an identity. 2 sin x tan 2.r = 2 cos x - sec x

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Q: Find sin x/2, cos x/2, and tan x/2 from the given information. csc x = 8,   90° < x < 180

A: Given cscx=8 ,where 90°&lt;x&lt;180°. Here, x lies in 2nd quadrant, so sinx will be positive but…

Q: Verify the identity by transforming the lefthand side into the right-hand side.

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Q: The expression sin(3z) cos (2z)- cos (3) sin (2z) is equal to cos (5z) sin z cos z O sin (5z)

A: Trigonometry Addition Formulas The following are the trigonometric addition identity formulas for…

Q: If sinx−cosx=0, then what is the value of sin^4x+cos^4x?

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Q: Use the addition formulas to derive the identities

A: We will use cos(A-B)=cosAcosB+sinAsinB formula with A=x and B=π/2

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 12 cos(x) = 13 csc(x) < 0 sin(2x) =…

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Q: (a) Buktikan, Prove that, (sin x + cos x)* = sin" 2x + 2 sin 2x + 1. %3D

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Verify the identities can be proven.   A) (1+cos x )/(1-cos x) - (1-cos x )/(1+cos x )=4 cot x csc…

A: We have to proof that following trigonometric identity.

Q: a) Buktikan, Prove that, (sin x + cosx)* = sin 2x + 2 sin 2x +1.

A: The given equation,sinx+cosx4=sin22x+2 sin2x+1

Q: Given that sin (x) -2/√13 & cos (x) < 0, find the value of tan (x)

A: Given sinx=-23

Q: Which of the following is equivalent to sin 0 tan 0 csc 0 for all values of 0 for which sin 0 tan 0…

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Q: By using substitution, show that x = 4 pi / 6 is a solution to the equation sin (2x) = cos (x). Show…

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Q: sin 2x 29. sin x cos 2r = sec x cos x

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

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin(2x)…

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Q: Find sin n() = CUS (4) - tan() sin(), cos(+), 7 sin(x) = 25 sin = and tan n() 0° < x < 90° from the…

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Q: 1. tanxsins + cosx = secx

A: using trignometric identities:-

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6, tan(x) < 0 sin(2x) =…

A: Given

Q: Part 3 of 4 COS X d —CSC X + С dx To check for the result, prove that 1 - cos?x

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Q: Find an algebraic formula for cos (tan-1 u + sin¬1 v), then use that formula to 1 compute cos…

A: given function ,  costan-1 u + sin-1 v  ..........................eq.(1) now we have to find an…

Q: Show that V2 + V2 cos 2 and cos 16 and use it to find sin 16 Show that

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Q: Use addition formulas and the values of sin θ and cos θ for θ = π/3 ,π/4 to compute sin 7π /12 and…

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Q: sin2x+cos2 for x = 55 degrees.

A: Apply trigonometric identity cosA=sinπ2-A to rewrite the expression. sin2x+cos2x=sin2x+sinπ2-2x…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6,   tan(x) < 0 sin(2x)  =…

A: values are a) sin(2x) = .3286 b) cos(2x) = .945 c) tan(2x) = .3479 detailed solution is given below…

Q: If csc(z) = 6, for 90° < x < 180°, then sin com ) - [ tan) - COS

A: First of all find the value of x, then find the given

Q: Find the value of 2 sin2 30° tan 60° – 3 cos2 60° sec2 30°

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Q: Calculate the value of expression: sin- cos--2· cos- • tan 5 2

A: Explanation of the answer is as follows

Q: sin 2x 5. cot x = 1- cos 2.x

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Q: Which expression is equivalent to sinβcscβsecβ for all values of β for which sinβcscβsecβ is…

A: According to reciprocal identity csc x=1sin x

Q: If csc(z) = 4, for 90° < z < 180°, then sin (;) - ()- cos tan

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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: Prove the identity. ex(1- sin'x) = So cosx | %3D

A: Prove the identity- Secx(1 - sin2x) = cosx. We know that : sin2x + cos2x = 1 Here i attached…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6,   tan(x) &lt; 0…

A: Given informationCosec(x) = 6, tan(x) &lt;0

Q: Show that sin , +sin ¤, = 2 cos[;(4, – Þ,)]sin[;(P, +Ð,)]

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Q: By equating the real parts of cos 5? + ? sin 5? = (cos ? + ? sin ? )5 show that cos 5? = 16cos5?…

A: De-moivre's Theorem, cosθ+isinθn=cosnθ+i sinnθ. For n=5, cosθ+isinθ5=cos5θ+i sin5θ. Simplify LHS as…

Q: 3 and e is in QIII. 5 4. Find the exact value of sin if cose

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Q: Which expression is equivalent to sinαcosαsec(−α) for all values of α for which sinαcosαsec(−α) is…

A: Given,           sinαcosαsec-α

Q: Express as a sum or difference.3 cos x sin 2x

A: To express: The expression 3cos x·sin 2x as a sum or difference. Given: The expression is 3cos x·sin…

Q: Simplify the expression to 1, - 1, or neither A. Sin(-x) csc(-x) B. Cos(-x) sec(x) C. Cot(-x) sin(x)

A: Explanation of the solution is given below...

Q: Simplify to a single trigonomeiric ratio: cos(90°-x).cos(-y)- cos(180°-x)sin(-y). cos(360°…

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

Q: If cos 0+sin 6= /2 cos 0, show that cos 0-sin 6 = /2 sin 6.

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Q: 1. Which expression is equal to sec x tan z sin x using identities?

A: We can use simple trigonometric identities to solve the given equation.

Q: and tan (x) < 0, use the fundamental identities to determine sin (x) = cos (x) = tan (x) = cot (x) =…

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

Q: Find sin 2 x, cos 2x, and tan 2xfrom the given information. sinx=8/17, x in QII

A: We have given the value of the  trigonometric ratios of sinx  Sin(x) = 8/17

Q: Prove using trig identities sin 20° =1 V3 cos 20° – 2 sin 40°

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Q: Verify the identity. 2 cos 3x sin x = 2 sin x cos x – 8 cos x sin3 x Working with the left-hand…

A: Using the product to sum identity

Q: Verify that the equation is an identity. Show that sin (-x)+ + csc.x= cotx cos.x.

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin(2x)…

A: csc(x)=4, tan(x)&lt;0we have to findsin(2x), cos(2x), tan(2x)

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cos(x) = 12/13 ,   csc(x) < 0

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