Prove: Sin(x-pi/2) = -cosx

Q: Find the reference number for the following angle (in rad unit) (a) ¹1 (b) 11πT 4π 101TT

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: = point(s) possible Find the values of sin t, cos t, tan t, csc t, sect, and cott if P = unit circle…

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Q: For a given day in the year, the temperature in Tucson at 6:00 AM is 78 degrees Fahrenheit. By 6:00…

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Q: The terminal side of angle intersects the unit circle in the first quadrant at Cos 0? Select the…

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Q: Find the area of the trapezoidal cross-section of the irrigation canal shown below. Your answer will…

A: I am attaching image so that you understand each and every step.

Q: 6.) 12i¹0+ 24i24 12i+24i

A: As we know from the complex number, i=-1i2=-1 And use the exponent rule, abc=abc   To calculate the…

Q: Write the complex conjugate of the complex number. −3 −√3i   Multiply the number by its complex…

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Q: 2 The function fx)=0.6 six represents the velocity of air flow of normal breathing cycles, where x…

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Q: csc 8 = sec 8 = tan 8 12 5 cos 0 > 0

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Q: 1. Find all solutions of the given equation. 4 sin² 0-3=0

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Q: If the angle is in standard position and P(x, y) is a point on the terminal side of 0, and r is the…

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Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

A: Given; Sqrt(x2-81)/x, x=9sec(theta)

Q: 7.) 3x²-3x - 18=0 GCF:

A: NOTE: Refresh your page if you can't see any equations. . first, we need to factor out 3

Q: (b) Solve sin 2x + cos2x = sin² x+1 for 0≤x≤ 2π.

A: To solve the following equation.sin2x+cos2x=sin2 x+1 for 0≤x≤2π

Q: Find parametric equations for the curve with the given properties. The line with slope passing…

A: givenslope of line=12

Q: Describe the transformation of the given trigonometric function. A) y = -3 sin(x + ) - 2 0000

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Q: 1-Use the discriminant to find the number of real and imaginary solutions of the quadratic equation.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Question 2 (a) Express the left-hand side of the equation cos 5x+cosx-cos3x = 0 as a product and…

A: Let's solve given trigonometric expression.

Q: Evaluate the following using exact radian measure. Show all of your work. sin-¹(-√3) operelin button…

A: sinπ3=32 sin-x=-sin(x)

Q: Solve cos(x)=0.15 on 0≤x<2π There are two solutions, A and B, with A < B A= B=

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Q: Simplify the trigonometric expression. sec(x) -cos(x) / tan(x)

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Q: Find all solutions to the equation Sinx-cosx= sqrt2

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Q: If tan 0 = 6/3 and cos 0 > 0, then without finding the angle, find the exact answers to the…

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Q: Express the eqution in rectangular coordinaties. (use variables x and y) r= 7cos(theta)

A: Given question:- Express the eqution in rectangular coordinaties. (use variables x and y) r=…

Q: x = sec(t), y = tan(t), 0 st </ (a) Sketch the curve represented by the parametric equations. Use…

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Q: (b) Solve sin 2x+ cos2x = sin² x+1 for 0≤x≤ 2π.

A: sin2x+cos2x=sin2x+1 Substitute the trigonometric identities  sin2x=2sinx cosx  and cosx=1-2sin2x to…

Q: exact solutions on the interval [0, 2pi). If the is more than one answer, enter them as a comma…

A: Given query is to find the values of t.

Q: Find a coterminal angle with measure 0, where 0° ≤ 0 < 360°, for each of the following: 23) 650° 24)…

A: We need to find a coterminal angle with measure θ, where 0°≤θ&lt;360°,for each of the following:…

Q: To find the distance to the sun, we need to know the distance to the moon. Here is a way to estimate…

A: NOTE: Refresh your page if you can't see any equations. . A=B=r=3960 miles (radius of the earth)…

Q: A water sprinkler sprays water over a distance of 20 feet while rotating through an angle of 120°.…

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Q: A building that is 360 feet tall casts a shadow 60 feet long. What is the angle of elevation of the​…

A: Given: Height of Building, B = 360ft Length of shadow, S = 60 ft

Q: Use the vectors u = (2, 2), v = (−3, 1), and w = (4, −1) to find the indicated quantity. (v u) − (w…

A: Given u=(2,2)v=(-3,1)w=(4,-1)We need to find(vu)-(wv)

Q: 5T 6 a) tan- 77 4 b) cosec-

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Q: Figure B variable (deg) Value a (m) 67.4 4 a B

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Q: Find all the solutions in radians using exact values only Sin2(8x)=1

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Q: Give a possible formula for the function below. Let A y(x) = Y k B x 5). Use the general exponential…

A: given point  A=(1,15)  and B=(2,75)  formula used is  y(x)=a(b)x

Q: Solve cos(x)=0.15 on 0≤x<2π There are two solutions, A and B, with A < B A= B=

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Q: Suppose the temperature, T, on a particular planet oscillates between -60 °F and 200 °F every 33…

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Q: A loading chute in a flour mill goes directly into a feeding bin. The feeding bin is in the shape of…

A: NOTE: Refresh your page if you can't see any equations. . the radius of the cone is r=14 feet and…

Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the…

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Q: 25 8.) - 16²5 + 12/23

A: We know  ⇒i2=-1 ⇒i4=1 Therefore i4k=1 , k =0,1,2,..

Q: Solve the following logarithmic equation: log x = -3 .027 .001 .013 .004

A: The given logarithm equation is: logx=-3 Solve the given equation.

Q: Simplify the trigonometric expression. cos(x) sec(x) + tan(x)

A: We have to solve the above trigonometric expression

Q: What is the length of the missing side x

A: Finding x with trigonometric identities

Q: The triangle below has sides with lengths a = Find the measure of the smallest angle. Round to the…

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Q: Answer the following as required. 1) Determine the amplitude and period of y = -7 sin Amplitude: 2)…

A: If a function look like y=Asin(B(x+C))+D where A is amplitude, period is 2πBSame for cosine function

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r= 4/…

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Q: Use a graphing device to find the solutions of the equation, rounded to two decimal places. (Enter…

A: Given data, sin7x=x

Q: Name the ordered pair of one of the zeros for the following function f(x) = x² + 8x - 9

A: To find the zeroes of given function

Q: Two residential buildings are to be constructed with a grassy recreational area between them. The…

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