Evaluate the following using any identities leaving an exact answer (use the insert math tool √ to input your answer) tan(105°)

Q: The tip of the minute hand of a clock is 3 in. from the center of the clock. Find the linear…

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Q: Find the smallest positive value of c for which x=c is a vertical asymptote for the graph of the…

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Q: A triangle has sides a = 3.5, b = 2.4, and included angle ∢C = 22° (opposite side c).  Find the…

A: A triangle has sides a=3.5 ,b=2.4 and ∠C=22° Figure

Q: 5. Bridges and other structures often use trusses (series of triangles) for structural support.…

A: Figure

Q: Use the fundamental ident cosx(cscx-secx)-cotx

A: We have to simplify , cosx(cscx-secx) -cotx  using fundamental identities. Some fundamental…

Q: Find csc-1(2.9) (in radians).  (Hint: Use sin-1)

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Q: Find the argument (angle θ) in radians for the given complex number z = 4.1 + (7)i.

A: This is question of complex number here number is given we have to find angle   further calculation…

Q: Determine whether each infinite geometric series diverges or converges.  If the series converges,…

A: We have to determine whether each infinite geometric series diverges or converges.  If the series…

Q: Find the smallest positive solution x: (sec(x)+2)(sec(x)+1) = 3 Assume radians.

A: We have to find the value of x from the given equation:secx+2secx+1=3

Q: Suppose the oscillatory motion of an object can be modeled using the equation s(t) = 7.4sin(4.4t)…

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Q: 10. Sketch the hyperbol the asymptotes of t

A: The equation is: 4x2-3y2+8x+16=0

Q: The tip of the minute hand of a clock is 6.7 in. from the center of the clock.  Find the linear…

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Q: The following equation involves a trigonometric equation in quadratic form. Solve the equation on…

A: Convert equation in quadratic form and find the solution in term is sin(x) then we find value of…

Q: In ΔVWX, x = 1.5 cm, �m∠X=26° and �m∠V=71°. Find the length of v, to the nearest 10th of a…

A: In ∆VWX, x=1.5 cm, m∠X=26°,m∠V=71° Figure

Q: 7. Two forest fire stations, P and Q are 20 km apart. A ranger at station Q sees a fire 15 km away.…

A: Solving the problem

Q: Use well-known trigonometric identities to determine which of the following equations are…

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Q: The parabolic arch shown in the figure is 50 feet above the water at the center and 200 feet wide at…

A: The arch is at a distance 50 feet above the water  The width of the arch at the base is 200 feet.…

Q: Determine the value of angle A that corresponds to tan A=6.0840. Round the answer to the nearest…

A: We need to determine the value of angle A that corresponds to tan A=6.0840

Q: Q.13 If angle A is 45 degrees and angle B is 60 degrees. What is sin (A) cos (B)? ½ (sin (345) -…

A: Trigonometric identity is given by: sinAcosB=12sinA+B+sinA-B Given that A is 45° and angle B is 60°…

Q: Consider the angle 0 in standard position with the terminal side passing through P(5.5,5.6). Find…

A: Given: Consider the angle θ in standard position with the terminal side passingthrough P(5.5,5.6).…

Q: Express the given sum or difference as a product of sines and/or cosines. sin 8x- sin 2x sin 8x-sin…

A: let   M=sin(8x)-sin(2x)

Q: Solve the following equations over the given interval. Show all work used to find your answers (Ex:…

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Q: If cosA = and sinB = 3 then find sin(A - B) 1 with A in quadrant I, and B in quadrant IV,, 2

A: We know that the formula sin(A-B)=sinA*cosB-cosA*sinB

Q: Find csc-1(4.3) (in radians).  (Hint: Use sin-1)

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Q: Evaluate the sum of the finite geometric series: -5-10-20-40-...-2560

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Q: Simplify the following expression by using appropriate identities. Do not use calculator. T sin - (…

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Q: As you stop at a traffic light, a pebble becomes stuck in the tire treads. When you start off, the…

A: A) Sketch a graph of this function: It is given that the distance of the pebble from the pavement…

Q: Vector a is expressed in magnitude and direction form as a = √26, 140° What is the component formā?…

A: a=26θ=140∘

Q: Select the graph of the function. r 2 = 25 ⁢ cos ⁡ 3 ⁢ θ

A: Select the graph of the function. r 2 = 25 ⁢ cos ⁡ 3 ⁢ θ

Q: Find the argument (angle θ) in radians for the given complex number z = 5.5 + (-2.5)i.

A: Given a=5.5 b=(-2.5)

Q: The HMS Sasquatch leaves port on a bearing of N20ºE and travels for 8 miles. It then changes course…

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Q: Evaluate the following trigonometric function at the quadrantal angle, or state that the expression…

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Q: 23 42 R 1 y=2 sinx 2 y = Which equation is represented by the graph? sin 2x 2 1 y-sin 2.r = 2x 1…

A: we need to find the equation of the graph

Q: Convert the angle 40° 16' 32'' to decimal format. Provide four decimal places correctly rounded…

A: This is question of angle and here angle is given we have to convert it into decimal point further…

Q: Find a function of the form y = A sin(kx) + Cor y = A cos(kx) + C whose graph matches the function…

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Q: Solve for the principal values of x for the equation: 15cosx−7 = 2 secx This is for trig in…

A: The given trigonometric equation is: 15 cos(x)-7=2 sec(x)

Q: Evaluate each infinite geometric series 3+1+1/3+1/9+...

A: 3+1+13+19+… a1=3 a2=1 a3=13 Common ratio is given as r=a2a1=13

Q: Find the argument (angle θ) in radians for the given complex number z = 4.1 + (7)i.

A: The given complex number is z = 4.1 + 7i  we have to find angle in radians .

Q: Subject is Precalculus The topic of the paper is Trigonometric Identities. The images are in…

A: Formula to be used: cos2x = (1 -tan2x)(1 +tan2x) sinθ=-sinθ

Q: sin x = - Q Zoom Find all real numbers that satisfy the equation.

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Q: Find the phase shift: y=2cos(6x-pi/4)

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Q: Find the solution of the equation 1.43 + 6.79(sin x) = 3.32 that is negative and nearest to 0.…

A: We have to find the value of x in the  given equation 1.43 + 6.79(sinx)=3.32

Q: Solve triangle EFG, which is pictured below: F E 28 25 47 G

A: In △EFG,

Q: Find all solutions of the equation in the interval [0, 2). sin ²x=2+2 cos x Write your answer in…

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Q: 1) y = 2 sinx

A: We have to plot y = 2 sinx  With 2 complete cycles.

Q: Evaluate the sum of the finite geometric series:

A: Here  a=(12)1+1=14 r=12

Q: Solve for the side b, given the triangle and associated information below. (Note that no attempt has…

A: given α=43°,  β=56°  and  a=4

Q: - Find the center, vertices, co-vertices and foci of the ellipse x² + 4y² + 6x − 8y + 9 = 0. Find…

A: Find the center, vertices, co-vertices and foci of the ellipse x2+4y2+6x-8y+9 =0. Find the…

Q: 14. b) Find the area of triangle ABC, if a = 30, b = 18 and ZC = 48.

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Q: Q.1 Use half angle formulas to find cos (30) Q.2 Use half angle formulas to find sin (22,5).

A: We need to use half angle formulas to find value at given angle.