Alternating Current The voltage of the alternating current coming through an electri-cal outlet can be modeled by the function V(t) = 163 sin (120pt), where t is measured in seconds and V in volts. Find all times at which the voltage is at its maximum.

Q: Simplify each expression by first substituting values from the table of exact values and thensimplif...

A: sin(60o) = 32 cos(60o) =12 

Q: If 270 0 , A , 360 0, then A/2 terminates in which quadrant?

A: Given 270°<A<360°......(1)

Q: Graph one complete cycle of each of the following equations.     y =3 + 1/2 cot pi/2

A: Given: y=3+12cotπ2 we know that cotπ2=0

Q: Identify the period and the phase shift from the following trigonometric equation. y = -3 csc 4

A: The given equation is y=-3csc12x-π4-5. The standard equation of cosecant function is y=A cscBx-C+D. ...

Q: If y = f(x), then x is formally called the ___________ variable and y is called the___________ varia...

A: we know that in y=fx x is called as independent variable and y is called as dependent variable  

Q: How would you prove the identity cos theta tan theta = sin theta ?

A: Givencosθ tanθ=sinθ

Q: Use a calculator to find cos 37.8 0

A: we have to use the calculator to find the value of the given  trigonometric ratio: cos37.80

Q: In order for sin-1 (sin x)= x, x must be a value between ____ and ____.

A: In order for sin-1sinx=x, x must be a value between ___ and ___.  

Q: Identify the amplitude for each of the following. Do not sketch the graph.   y = 0.5 cos x

A: If  y=acos(bx-c) then amplitude of y is a

Q: Angle of Depression A man is flying in a hot-air balloon in a straight line at aconstant rate of 5 f...

A: Given that, a man flying in a hot air balloons in a straight line with constant rate 5 feet per seco...

Q: What happens when you try to find tan 90  0 on your calculator? Why does thishappen?

A: Turn on t1-83 calculator and enter tan(900) using appropriate keys. Now press enter and obtain the r...

Q: Suppose f(x)=(x−3)2f(x)=(x-3)2 and g(x)=√x+7g(x)=x+7. Evaluate the following expressions. f(g(7))=...

A:

Q: Rotating Light Figure 14 shows a lighthouse that is 100 feet from a long straight wallon the beach. ...

A: Make the table for the equation d=100tanπ2t, where t range from 0 to 4. t d=100tanπ2t 0 0 12 ...

Q: Use a calculator to find the following. Round your answers to four decimal places.      cosec 113.2 ...

A: The given trigonometry expression is csc113.2∘. By using the calculator, csc113.2∘=1.087979057372056...

Q: If B = 108 degree, C = 37 degree, and c =2.9 inches, use the law of sines to find b.

A:

Q: Graph each of the following circles. x2 +y2 =25

A: x2+y2=25⇒x-02+y-02=52 Now comparing with x-h2+y-k2=r2, we get h=0, k=0 & r=5. Therefore center o...

Q: What is the height of a right triangle with an angle that measures 60 degrees and a base of 14 adjac...

A:

Q: m3 + n3 = (m + n)(m² + mn + n²)

A:

Q: Triangle ABC is a right triangle with C = 90 0. If a = 6 andc = 10, find the six trigonometric funct...

A:

Q: For points (x, y ) in quadrant I, the ratio x /y is always positive because x and y are always posit...

A: we know that for points x,y in quadrant 2, the ratio xy is always negative because x is always negat...

Q: Figure 1 shows a fire truck parked on the shoulder of a freewaynext to a long block wall. The red li...

A: Find the equations that give the lengths d and l in terms of time t.

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...

A:

Q: use theentries in the table to sketch the graph of each function for x between 0 and 2pi     y = tan...

A: Given: y=tanx we know that x y x,y 0 0 0,0 π6 13 π6,13 π4 1 π4,1 π3 3 π3,3 π2 ∞ π2,∞ ...

Q: A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and t...

A: From the given information we get two coordinate points (n1,y1)= (30,34) and (n2,y2)=(36,32) We will...

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

A:

Q: find all values of x, 0 <= x <=  2p, forwhich the following are true:   cos x = 0

A: Given that: cosx=0,  0≤x≤2π

Q: Refer to right triangle ABC with C = 90°. Begin each problem bydrawing a picture of the triangle wit...

A: In △BCA, tan A=BCACtan A=1629

Q: Distance Two guy wires from the top of a 35­foot tent pole are anchored to theground below by two st...

A: Length of the tent pole is 35 foot. The tent pole is perpendicular to the ground and between the two...

Q: A sector of area π/9 square inches is formed by a central angle of 30°. What is the radius of the ci...

A: Area of the sector = π/9 in2

Q: Prove that each of the following identities is true.   1/ 1+ cos x  + 1/ 1- cos x  = 2  cosec 2 x

A: Here given as 11+cos x+11-cos x=2cosec2x

Q: Ski Lift A ski lift operates by driving a wire rope, from which chairs are suspended,around a bullwh...

A:

Q: Use a calculator to find each of the following (round to four decimal places):     cosec (-267.3)  0

A: To find value of csc-267.3°

Q: A 141 ft.tower is located on the slide of a mountain that is inclined 33 to the horizontal .A guy wi...

A: The diagram is shown below: Here, DC, the length of the tower = 141 ftEC,  the length of the guy wi...

Q: Prove each identity.   sin (A + B) + sin (A - B) = 2 sin A cos B

A: We have to prove: sinA+B+sinA-B=2sinAcosB We know the formulae for trigonometric if two angle are in...

Q: Height of an Obelisk Two people decide to find the height of an obelisk. They posi-tion themselves 2...

A: In △ABC, tan 65∘=hxh=x tan 65∘     (1) In △ABD, tan 54∘=h25+xh=tan 54∘25+x       (2)

Q: Determine which quadrant contains each of the following points. (4,2)

A: First quadrant: x an y both are positive. Second quadrant: x is negative and y is positive. Third qu...

Q: What is the height of a right triangle with an angle that measures 60 degrees and a base of 8?

A: We first sketch the situation roughly. Let the height is h    

Q: Please solve f'(4) thank you

A: