Prove that each of the following identities is true.   sec B - cos B  = tan B sin B

Q: A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the...

A: Consider the given diagram: Given: The radius of the Ferris wheel is 10 m. The bottom of the wheel ...

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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: 94.cos 0(csc 0+ tan 0) cot 0+ sin e

A: To show: cos θcsc θ + tan θ=cot θ + sin θ

Q: Find the projection of u onto v. u = (4, 4) = (7, 1) proju = Write u as the sum of two orthogonal ve...

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Q: sec/ tan 6

A: Given: secθcscθ=tanθ    

Q: The initial and terminal points of a vector are given. Write the vector as a linear combination of t...

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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: 3) Use the given information to find (a) sin(s+t), and (b) tan(s+t) and (c) the quadrant of s+t. (a)...

A: Given: (a) cos s= 3/4 and sin t= 5/13, s and t are quadrant 1. (b) sin s=3/5 and sin t= -12/13, s in...

Q: Theodore invests a total of $4,500 in two accounts. The first account earned a rate of return of 13%...

A: Let $x be invested in first account, then amount invested in second account is $4,500-x. Given that,...

Q: Question On the graph off(x) = sec x and the interval [-2z, 0), for what value of x does f(x) 3 1? C...

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Q: Two wires from the top of a tent pole are anchored to the ground on each side of the pole by two sta...

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Q: Prove the identity

A: Givencsc2A tan2A-1 = tan2A  

Q: Evaluate each of the following if x is p/2 and y is p/6.          cos (x-y)

A: cosx-y

Q: Simplify the expression by first substituting values from the table of exact values and then simplif...

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Q: If we start at the point (1, 0) and travel once around the unit circle, we travel a distance of 27 u...

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Q: Prove the identity

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

Q: find the corresponding angle measure in radians. -150degree

A: Consider the given degree measure is -150°. Then, the corresponding positive angle for -150°is, -150...

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

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Q: Find v for the tip of the hour hand of a clock, if the hand is 13 cm long.

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Q: For the function f(x) = sec.x, which of the following are not possible values of f(x)? c %3D

A:   We know that,                         The range of f(x) = sec(x) is (-∞,-1] ∪ (1,∞].  

Q: Sketch the following trigonometric functions. Each graph should be accompanied by the appropriate, s...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

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A: Consider the speed of the first plane is 250 miles per hour.Consider that the second plane travels a...

Q: Use the vectors u = (2, 2), v = (-5, 1), and w = (2, -2) to find the indicated quantity. (v - u) - (...

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Q: Can you please explain step by step how the solution was arrived at for this problem?  I don't under...

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Q: Using long division, divide x2 + 3x+ 5 by x + 1.

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Q: 5. Ifa - 3 and d--2, what is the value of the expression?

A: Given expression is a-2b-3. We know that x-n=1xn So, the given expression can be written as: a-2b-3=...

Q: Prove the identity

A: Given  tanAsecA+cotAcscA

Q: 18) Which expression is equivalent to (9x²y9{? 1 (1) 3xy3 (2) Зху3 (3) xy3 (4) 3.

A: Given,             (9x2y6)-12

Q: Application problem using the quadratic equation:  A basketball player shoots a basket that is 25 fe...

A: Given Data: The horizontal distance of the player from the basket is: H=25 ft The quadratic equation...

Q: In a circle of radius 3 inches, an arc length 0.3 inches subtends a central angle of how many radian...

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Q: Identify the argument of the function. sin(x + ) 4.

A: the given function is,sinx+π4

Q: The following problem involves directions in the form of bearing, which we defined in this section. ...

A: Given             A boat travels on a course of bearing S 65° 50' E for 102 miles.                  ...

Q: The ramp of a moving truck touches the ground 14 feet away from the end of the truck. If the ramp ma...

A: Consider the given information: Ramp touches 14 feet away from end of truck. angle made by ramp wit...

Q: Find sin θ and tan θ if the terminal side of θ lies along the line  y = −8x in QII.   sin θ =      ...

A: Let us take the point (-1,8) on the line y=-8x and in QII.  

Q: Given cos ? = 1/5 and θ is not in quadrant 2. Find the remaining five trigonometric functions of θ.

A: Given: cosθ=15 and,  θ is not in quadrant II. Here, the objective is to find the remaining five trig...

Q: Cube roots of 216( cos 2 + i sin e + 2nk e + 2nk (a) Use the formula z, = + i sin to find the indica...

A: Given, the complex number                                        We have to find the roots of this ...

Q: Please give as much detail as possible

A: We have given we walk 50m at an angle of 60∘ north of east, then 50m at angle of 30∘north of west. W...

Q: 13) If x = 5a*, and a = 2b3, express x in terms of b.

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Q: The terminal side of angle θθ in standard position lies on the line -6x + y = 0 . Find a point that ...

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Q: 5x-129°=2x-21°3x

A: The given figure contains two vertically opposite angles 5x-129° and 2x-21°. It is known that any tw...

Q: cosx tanx - sinx/ cotx = 0 verify the identity

A: cosxtanx-sinxcotx=0 cosxcotx-sinxcotx=0⇒sinxcosx-sinxcosx=0⇒sinx=0  or cosx-sinx=0⇒cosx=sinx ⇒x=nπ o...

Q: 0, o° s 0 < 360°, given the follo Cos e = and 0 in QIII 2.

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Q: How to solve this problem

A: Consider a paralog ram ABCD. Let AB=26 cm. and AD=18 cm. and angle A is 39 degrees. For a polarogra...

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: Plz

A: Since you have posted multiple sub parts, as per our policy we will answer first three sub parts. Pl...

Q: How do I solve 7?

A: The given expression is tanπ12.  

Q: 2x,given  tanx=2 and cosx&gt;0

A: