Graph one complete cycle of each equation.    y = 4+ 2 cos  x

Q: Please solve f'(4) thank you

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Q: Evaluate without using a calculator.     tan    -1 ( tan 4 pi/3)

A: The given expression is tan-1tan4π3

Q: sec/ tan 6

A: Given: secθcscθ=tanθ    

Q: Prove that each of the following identities is true.   cos 4 t - sin 4 t / sin  2 t      = cot 2 t -...

A: Given: prove that cos4t-sin4tsin2t=cot2t-1 we know that a2-b2=a+ba-b and  cos2x+sin2x=1

Q: Find EXACT values. Do not use a calculator. Write answers with fractions and/or square roots. No dec...

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Q: If tan u = -3, find tan (-u).       1/ 3

A: Given tan u=-3.

Q: What is a vector?

A: A quantity that has magnitude as well as direction is called a vector.

Q: Show that each of the following statements is an identity by transforming the left side ofeach one i...

A: Given: prove that cosθcosecθ+tanθ=cotθ+sinθ we know that cosecθ=1sinθ,tanθ=sinθcosθ,cosθsinθ=cotθ

Q: If one factor of 56xy – 42x²y® is 14x³y, what is the other factor?

A: Since there are multiple questions present, according to company policy we will be answering only th...

Q: For the polynomial below, 1 is a zero. h (x) =x' + 3x- 7x + 3 = X

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Q: 14) Prove that the following is an identity: (x +y)³ = x³ + 3x²y+ 3xy² + y³

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Q: Trigonometry Question

A: Given equation is, T=0.6sinπ28t-3+101.4 and t=2.

Q: Graph the circle x2+y2=1 with your graphing calculator. Use the feature on your calculator that allo...

A: The given circle equation is  x2+y2=1 and the value of x= -1/4

Q: Identify the horizontal translation for the graph of y =1 +4 cos ( 3x +pi/2)     -pi/6

A: The given function is y=1+4cos3x+π2

Q: Prove the identity

A: Given expression is, 11-sinA-11+sinA=2secA tanA Consider the right left hand term of the given expre...

Q: Find the length of the arc subtended by the angle 8∘ 12'8∘ 12′ with a radius of 11.4.   Give your an...

A: Given, Angle, θ=8°12' Radius, r=11.4 units Formula for the length of arc is given by S=r θ Where, S ...

Q: Use the given condition to find the exact values of the expression.   cosX = 24/25, sinX < 0, cos...

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Q: Just do part c and f and i

A: (c) sin-1(12) = π6this is in quadrant 1

Q: If one factor of 56x*y' – 42x²y® is 14x'y', what is the other factor?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: In the figure below, the length of AB is 6 unit and the length of CD is 9 unit. AB and CD are perpen...

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Q: 9) Use the properties of exponents to rewrite the expression in the form kx", where k is a real numb...

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

Q: Verify that the following equation is an identity.  Cotxsin2x=1+cos2x

A: Using the result  cotx= cosx/sinx, sin2x= 2sinxcosx And cos2x= 2cos^x - 1.  

Q: Find the solutions of the equation that are in the interval [0,2pi)  tan(x/2) = cscx

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Q: Find the length of the arc subtended by the angle 8degrees 24' with a radius of 19.6.

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Q: This problem refers to right triangle ABC with C = 90°. Begin the problem by drawing a picture of th...

A: given that triangle ABC is a right angled triangle and with C=90o and B=52.55o  if b=11.38 we need t...

Q: Prove the identity

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Q: Verify each identity.     cot x = cos 3 x + cos x / sin 3 x - sin x

A: cos3x+cosxsin3x-sinx=2cos3x+x2cos3x-x22cos3x+x2sin3x-x2    ∵cosx+cosy=2cosx+y2cosx-y2& sinx-siny...

Q: Solve triangle ABC given the following information.     B = 32.8 degree, a = 625 ft, and b = 521 ft

A: B = 32.8° a = 625 ft., and b = 521 ft.   Formula used sinAa=sinBb=sinCc

Q: This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts using the gi...

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Q: Simplify the expression √4 − x^2( as much as possible after substituting 2 sin  for x.

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Q: x-3x-28 2 Which of the following is equivalent to x-7 (1) x – 4 (2) x + 4 (3) x – 7 (4) x + 7

A: Given expression is x2-3x-28x-7 Firstly, we will factorize x2-3x-28 by splitting middle term. x2-3x-...

Q: Use the given information and a calculator to find theta to the nearest tenth of a degree if0 degree...

A: Given, cosecθ=4.3152 To find θ for 0∘<θ<360∘.

Q: How do I solve 7?

A: The given expression is tanπ12.  

Q: Prove the identity

A: Consider the given identity, cosA+1sin3A=cscA1-cosA Cross multiply the equation, 1+cosA1-cosA=cscAsi...

Q: 3) Show that (a + b +c)² = a² + b² + c² + 2ab + 2ac + 2bc is a polynomial identity.

A: To show: a+b+c2=a2+b2+c2+2ab+2ac+2bc

Q: ample #2 ultiply the polynomials (x – 1)(x* + x³ + x² +x+ 1) using a table. Generalize the pattern t...

A: the polynomial given to us is (x-1)(x4+x3+x2+x+1) solving the brackets we get  =x(x4+x3+x2+x+1)-1(x4...

Q: 5. Describe and correct the error in performing the given operation: (2x – 7) = (2x)³ – 73 = 8x – 34...

A: Given (2x-7)3 Formula (a-b)3=(a-b)(a2+b2-2ab) (2x-7)3=(2x-7)((2x)2+(7)2-2(2x)(7))=(2x-7)(4x2+49-28x)...

Q: Show that each pair of vectors is perpendicular.     -4i -3j and 6 i - 8j

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Q: Simplify each expression.  a).  cos^2(7x)-sin^2(7x) b). sin15°cos15°

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Q: Question Which of the following are values of f(x) in the range of f(x) = sec x? Choose all answers ...

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Q: Find sin θ and cot θ if the terminal side of θ lies along the line y = -3x in quadrant 4.

A: Terminal side of θ lies along the line y = -3x in quadrant 4.

Q: Draw each of the following angles in standard position and then name the reference angle.     -120 d...

A: To Draw: Standard Position of the angle -1200 degree and then name the reference angle. Concept: (i)...

Q: How do I verify 11?

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Q: 3. A balloon is observed from two stations A and B at horizontal level, A being 1000m north of B. At...

A: Note: The distance mentioned in the question is 1000m i.e. d = 1000 and not 500.