122 Answered Questions for the topic Sine

06/28/18

Help simplifying?
simplify.   2sin2x/2 -1
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06/28/18

Find the exact value of sin 2θ​, cos 2θ, and tan 2θ and the quadrant in which 2θ lies. Cos θ=-20/29, θ is in quadrant III?
Thank you!
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06/27/18

Given the function value and the quadrant restirction, find θ?
Sin θ=-0.9744   (270°, 360°)
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06/06/18

Prove this identity:
prove the following identity: 2sin^2(x)/sin2(x)+cot(x)=sec(x)csc(x)   please note that the cot(x) is not with the sin2(x) as a part of the denominator. The 2sin^2(x)/sin2(x) is its own fraction.... more
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06/06/18

Prove the following identity:
prove the following identity:   2sin^2(x)/sin2(x)+cot(x)=sec(x)csc(x)
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Sine

04/19/18

Sine & Cosines - heading & distance
You are at point A , to the west side of a tall mountain.  You are planning a hike around the mountain to point C, which is 9 miles east of A.  You start by hiking a distance of 6.6 miles on a... more
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03/02/18

See Description
One end of a wire is attached to the top of the tower and the other end to a stake in the ground that is 44’ from the base of the tower. The wire makes a 64 degree angle with the flat ground. If... more
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01/18/18

What is csc2x if tanx = -3/4 and pi/2 < x < pi
The first "<" is a one with a line under it.
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12/04/17

Why do the values of sin and cos follow such a pattern:
sin(0)=(√0)/2 sin(π/6)=(√1)/2 sin(π/4)=(√2)/2 sin(π/3)=(√3)/2 sin(π/2)=(√4)/2   cos(0)=(√4)/2cos(π/6)=(√3)/2cos(π/4)=(√2)/2cos(π/3)=(√1)/2cos(π/2)=(√0)/2   Why do they follow this pattern?... more
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11/29/17

sin(tan^-1 v - tan ^-1 u)
exact answer i believe
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10/27/17

what is the significance between cos(45) being equal to sqrt(0.5)
I was messing with a calculator and found that the square root of 0.5 is equal to the sine and cosine of 45. I was just wondering the correlation between the two equations.
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10/08/17

horizontal and vertical asymptotes of y=x/sinx
find all horizontal and vertical asymptotes of  y=x/sinx   vertical asymptotes: if i set denominator to 0, then sinx=0 and x= 0 or npi?    horizontal asymptotes: i have to find the limit of... more
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10/04/17

Find the values of the trigonometric functions of t
csc t = 3 and the terminal point of t is in Quadrant II.
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08/24/17

Interference of Light help?
Light passing through a double slit with separation d=3.33*10^-5 created its first minimum (m=1) at an angle of .551 deg. What is the wavelength of the light in nanometers?   I thought I was... more
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08/07/17

If sin(x) = 1/8 and x is in quadrant I, find the exact values of the expressions without solving for x.
If sin(x) = 1/8 and x is in quadrant I, find the exact values of the expressions without solving for x.   a) sin(2x) b) cos(2x) c) tan(2x)
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07/31/17

Sine and Cosine Problem
Hello, I am having trouble with the following problem: If A and B are both acute angles and sin(A)=6/13 and cos(B)=48/49 find the value of cos9-A)-sin(-B).  Write the answer as a simplified... more
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07/23/17

Explain how you could translate the graph of y = sin(x) to obtain y = cos(x).
If the graph of y = sin(x) is shifted __?____ units left, the graph of y = cos(x) is obtained.
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07/19/17

Trigonometry Proof
Please help me answer the following question! I'm stuck!   Prove that cos6ß + sin6ß = 1/4 + 3/4cos2ß   I've tried simplifying out the LHS into (cos2ß)3 + (sin2ß)3, but I don't know what to do... more
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04/10/17

if P(s) lies in the second quadrant, then (cos s) (tan s ) > 0
trigonometry
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03/27/17

Trig problem
Evaluate sin(sin-1(sin60)) [60 degrees]   and    evaluate cos-1(cos(cos-10.5)) if the angle is in quadrant 1. 
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03/07/17

Is it possible to write out the first few terms of the series (1 →∞) n x sin(1/n)? Does it matter if you evaluate sine with degrees or radians?
Background information: nsin(1/n) diverges using the Test for Divergence.   I was playing around on my calculator and I noticed that no matter what term number you use the output of nsin(1/n) is... more
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02/27/17

sinusoidal function question?
i really don't understand this question can someone help me 3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting... more
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02/27/17

Solve the equation on the interval [0,360) 2sin^2(x)+3sin(x)+1=0
As well as this one below. I'm just having trouble understanding the process and steps.     Find all the solutions in [0,2pi) sin^2(t)-cos^2(t)=0 3. Solve the equation on the interval [0,360)  ... more
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02/20/17

Solve the equation: 2 sin(3θ)- √3=0, 0 ≤ θ< 2π.
Solve the equation 2 sin(3θ)- √3=0, 0 ≤ θ< 2π
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02/13/17

Angle θ is an angle in standard position and B(-3,4) is a point on the terminal side of the angle. Find the value of sin(θ).
Angle θ is an angle in standard position and B(-3,4) is a point on the terminal side of the angle. Find the value of sin(θ).
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