Questions on Algebra: Trigonometry answered by real tutors!

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Question 512396: need help graphing through at least one period
and how to find amplitude, phase shift, vertical shift, period
y=-2+csc((1/2)x+(pi/4))
Click here to see answer by lwsshak3(6460)

Question 513562: 1.) sin < 0, tan < 0, what quadrant will both be in?

2.) Find the exact value of tan theta, given that sin theta = -1/6 and theta is in quadrant IV.
tan theta = ???
Click here to see answer by lwsshak3(6460)

Question 512221: a clock has a minute hand with length 15 cm,let p point at the tip of the minute hand.
find the angular velocity of p in rad/hr?
find the linear velocity in cm/min?
Click here to see answer by lwsshak3(6460)

Question 515029: Write the complex number z=-4-5i in trigonometric form (sometimes called polar form), with the angle expressed in radians from 0 to 2pi. Do not round any intermediate computations, and round the values in your answer to 2decimal places
z=?(cos?+isin?)
Click here to see answer by Edwin McCravy(8879)

Question 515093: Find all solutions to the equation.
csc theta +sqroot(2)=0
Write your answer in radians in terms of pi.
theta=
Click here to see answer by Alan3354(30959)

Question 515214: Use a half-angle formula to find the exact value of tan 3pi/8
Click here to see answer by drcole(72)

Question 515298: If sinA+cosA=7/5 and sinA cosA=12/25, find sinA-cosA
Click here to see answer by Alan3354(30959)

Question 515354: Find the angle between the vectors <-9,-7>and <2,-1> . Carry your intermediate computations to at least 4 decimal places. Round your final answer to the nearest degree.
Click here to see answer by richard1234(5390)

Question 515393: In which quadrant(s) does sin θ= square root of (1-cos^2 θ)
Click here to see answer by drcole(72)

Question 515391: Simplify do not solve (cos x)/(csc x - sin x)
Click here to see answer by drcole(72)

Question 515399: If cosα=4/5 and cosβ=12/13, find sin(α+β) when α and β are the measures of two first-quadrant angles. Give answer as a fraction.
Click here to see answer by drcole(72)

Question 515387: For what value(s) of θ does the equation sin θ= 1/(csc θ) hold?
Click here to see answer by richard1234(5390)

Question 515468: solve 4 sin^2 x =2 for 0 <= x <= 180
Click here to see answer by lwsshak3(6460)

Question 515471: solve cos 2x-2 sin^2x +2 = 0 for ALL values of x
Click here to see answer by lwsshak3(6460)

Question 515525: write the normal form of the equation 5x=y-3
Click here to see answer by stanbon(57219)

Question 515469: verify that (cos x + sin x) = (sin 2x)/2
Click here to see answer by Edwin McCravy(8879)

Question 515587: Please help me with this problem,
express sin(3x)cos(5x) as a sum or difference of trig functions.
Thank You
Click here to see answer by drcole(72)

Question 512878: cosθ/sinθ=1/tanθ
Click here to see answer by Aswathy(23)

Question 516252: Given the point P(t) = (-2, 3):
a) What is the distance from P to the origin?
b) What is cos(t)?
c) What is the x-y coordinate of the point where the line segment from the origin to P intersects
the unit circle?
d) What is the x-y coordinate of P(t - π)?
e) Evaluate tan(t + π)

So far I think I have:
a: sqrt(13)
b: (2)/(sqrt(13)
Any ideas for the others?
Click here to see answer by solver91311(16868)

Question 516274: Evaluate (sin 72º / cos 18º) + (cos 30º35`/ sin 59º25`)
Click here to see answer by Edwin McCravy(8879)

Question 516326: Find all values of x [0,2pi] that satisfy equation
2cosx+sin2x-0
How do I go about solving this
Click here to see answer by stanbon(57219)

Question 516407: Use an addition or subtraction formula to write the expression as a trigonometric function of one number, and then find its exact value.

Click here to see answer by stanbon(57219)

Question 516402: Write the trigonometric expression in terms of sine and cosine, and then simplify.
tan(x)csc(x)
Click here to see answer by Alan3354(30959)

Question 516628: Use the information given about angle theta to find the exact value of cosine theta/2
Click here to see answer by solver91311(16868)

Question 516629: Use the information given about angle theta to find the exact value of cosine theta/2
sin theta=3/5 and 0
Click here to see answer by solver91311(16868)

Question 516399: Simplify and write the trigonometric expression in terms of sine and cosine:
(1+cosy)/(1+secy)
Click here to see answer by lwsshak3(6460)

Question 516242: Use a half-angle formula to determine the value of the trigonometric functions. Answers must be in exact form, cannot have decimals.

how do you solve this:
sin(11π/8) =
sin(π/8)=
Click here to see answer by lwsshak3(6460)

Question 516910: sin 0= 3/5 and 0 lie in quadrant II. What is cos 0?
the possible answers are:
-4/5, 4/5, -square root of 34/5, and square root of 34/5
Click here to see answer by lwsshak3(6460)

Question 516301: Find ALL solutions to the equation. tanθ=-1. PLEASE HELP ME. i REALLY need it!!!!!??!!!?
Find ALL solutions to the equation.
tanθ=-1.
Part I: Write an equation that expresses the value of θ in terms of an appropriate inverse trigonometric expression.
Part II: On the interval [0,2π], what values of θ satisfy your equation in Part I?
Part III: Write an expression for all solutions to the equation
Click here to see answer by lwsshak3(6460)

Question 515788: May you help me find the answer
If tan(θ)= -3/4 and sin(θ) <0, find cos(θ)
Click here to see answer by lwsshak3(6460)

Question 516222: Find all solutions of the equation in the interval (0,2pi).
tan^2x-6tanx+5=0
So far I have:
(tanx-1)(tanx-5)=0
tanx=1 and tanx=5
I DO know there will be two solutions. Thank you!
Click here to see answer by lwsshak3(6460)

Question 515593: Please help me with this problem,show as many steps as possible please.
Solve, -10cos^2x - 3sinx + 9 = 0, Give a general formula for all the solutions, Round to 3 decimal places if needed.
Click here to see answer by lwsshak3(6460)

Question 517032: Find the amplitude, period, and phase shift for each function, and sketch its graph.
y = 2sin (4x+ pi/6)
Click here to see answer by Alan3354(30959)

Question 517030: Find the amplitude, period, and phase shift for each function, and sketch its graph. y= sin A(x-pi/4)
Click here to see answer by lwsshak3(6460)

Question 517495: How do u make 3 over (x+7) and 4 over (x-8) have common denominators the problem is. 3/(x+7) + 4/(x-8)
Click here to see answer by oberobic(2304)

Question 517513: Hi, I have just a quick question...
what is the difference between composite trig functions and inverse trig functions? and how can you tell?
if you could include an example of each that would be great!
thanks for the help!
Click here to see answer by richard1234(5390)

Question 517616: How do u graph y=3cos(2(x+pi/4))+2??
Click here to see answer by lwsshak3(6460)

Question 517613: How do u graph y=3cos(2(x+pi/4))+2??
Click here to see answer by lwsshak3(6460)

Question 517606: write an equation for each translation of the graph of y= the absolute value of x
a. 4 units up, 2 units right
b. vertex (-3, 0)
c. vertex (5, 2)
d. vertex (4, 1)
Click here to see answer by lwsshak3(6460)

Question 517605: write an equation of the line through (1,1) perpendicular to line y=2x+10 please.
Click here to see answer by lwsshak3(6460)

Question 517604: for each direct variation, find the constant of variation. then find the value of y when x=-0.5
a. y=4 when x=0.5
b. y=2 when x=3
Click here to see answer by lwsshak3(6460)

Question 516677: Rewrite over a common denominator
sin Multiply and simplify
(sin θ + cos θ / cos θ) + (cos θ - sin θ / sin θ)
Click here to see answer by Aswathy(23)

Question 516659: Multiply and simplify
(sin θ + cos θ) (sin θ + cos θ) - 1 / sin θ
Click here to see answer by Aswathy(23)

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