Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 617146: Can you please help me the problem is: if theta is a positive acute angle and sin2theta= radical 3 over 2, then ( cos theta + sin theta)squared equals
Click here to see answer by jsmallt9(3296)

Question 617200: i need help in my trigometry homework
how can you solve this,,
sketch one cycle of the graph of the sine function
y=4sin(1/2)theta.
please help me
Click here to see answer by Alan3354(30924)

Question 617165: Can you also help me with the expression cos^2 theta -cos 2 theta is equivalent to
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Question 617164: if A is a positive acute angle and sin A= radical 5/3 what is cos 2A? please help i am so confused
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Question 617159: find all values of theta in the interval 0 less then or equal to theta less then or equal to 360 satisfy the equation sin2theta= sintheta
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Question 617271: A cruise ship sailed north for 50 km. Then, the captain turned the ship eastward through an angle of pi/6 and sailed an additional 50 km. Without using a calculator, determine an exact expression for the direct distance from the start to the finish of the cruise.
Click here to see answer by nerdybill(6948)

Question 617270: The wings on an airplane are usually angled upward relative to the body, fuselage, of the aircraft. This is known as dihedral, and makes the aircraft more stable in flight, especially during turbulence. Some aircraft hve double dihedral. Suppose that wing is designed as shown, with an initial dihedral angle of x for the first 6ft and an additional angle of x for the next 6 feet. Show that h2= 6sinx(1+2cosx).
... I have no idea where to start with this question.
Click here to see answer by KMST(1852)

Question 617349: Please help me answer this question: For all valuesof "theta", the expression 1-cos^2("theta") simplifies to:
F. cot 2("theta")
G. tan 2("theta")
H. cot^2("theta")
J. tan^2("theta")
K. sin^2("theta")
Thank You,
Click here to see answer by stanbon(57203)

Question 617346: Triangle ABC is an isosceles triangle. Its base is 16.2 cm and one base angle is 63o 20’.
Find the length of one of the congruent sides to the nearest hundredth of a cm.
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Question 617355: 3sin^2x-sinx-2
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Question 617355: 3sin^2x-sinx-2
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Question 617354: 3sin^2x-sinx-2
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Question 617372: If the longer leg of a 30, -60, -90 degree triangle is 6, what is the length of the hypotenuse?
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Question 617453: Which of the following is not a solution to the equation 4sin^2x=1?
1. 30 degrees
2. 210 degrees
3. 150 degrees
4. 120 degrees
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Question 617467: After a reflection in the x-axis, the parabola y=x^2-10 would have the equation?
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Question 617513: solve 3cos²x + 4cosx - 4 = 0 and write the general solution. Use your graphing calculator.
Click here to see answer by lynnlo(4155)

Question 617362: change 110.23º to degrees,minutes, and seconds
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Question 617546: The length of a diagonal of a rectangle is 10cm. The diagonal is inclined at an angle θ° to a side of the rectangle. Show that the perimeter,P cm, of the rectangle is given by P=20√2 sin (θ+45)°
Click here to see answer by Greenfinch(383)

Question 617397: Find all angles θ between 0° and 180° satisfying the given equation.?
Write your answers as a comma-separated list.
sin theta =1/2
cos theta = sqrt3/2
Click here to see answer by lwsshak3(6456)

Question 617824: If sin θ = 0.42 then what does sin (180+θ) equal?
I recently did a trigonometry test and this was one of the questions on the non-calculator section. I know how to work it out using a calculator but I'm not sure how to do it without one.
Click here to see answer by lwsshak3(6456)

Question 617861: Sin a=-5/6 and cos B=11/15. If a is in Quadrant IV and B is in Quadrant I, find sin(a-b). Give an exact answer.
Click here to see answer by IFY(62)

Question 617850: Find cos theta/2 if tan theta= 2/7 and theta is in Quadrant III. Give an exact answer
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Question 617928: Cosx-sin(-x)=0
the directions are to use identities , then solve for x.

Click here to see answer by Theo(3458)

Question 618037: sin(theta)+ tan(theta)/sec(theta)+ 1= sin(theta)
Prove the theory
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Question 618255: the question is find the exact value of sin theta if cos theta=5/7 and theta terminates in quadrant 4. Draw the angle theta in standard position and the exact valu of sin theta?

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Question 618247: please help me solve this problem......if the cosecant of theta is less than 0 and the secant of theta is less than zero, what quadrant is theta in?

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Question 618317: find the exact value of cotangent theta if theta is in standard position and (-7,2) is on the terminal side of theta
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Question 618337: prove that following is an identity
sin (2x) = 2cot x sin2x
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Question 618397: prove the following identity: (1-tanA)^2=sec^2A-2tanA
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Question 618404: rewirte sin x^4 so that it involves only the first power of cosine..? stuck lol
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Question 618431: Find the sine, cosine, and tangent of 1.44 radians to four decimal places

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Question 618238: what is the amplitude, period, verticle shift and phase shift of the graph y= 4cos (2x-3.14/2)? what are the incraments of the graph itself?
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Question 618479: sqrt(5+sqrt(24))
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Question 618490: Which of the following. Is equivalent to 1-cos^2/cos^2? the answer is tan^2 but I don't know how that answer is reached. thanks
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Question 618707: how to solve trigonometric identities? what are common step in all soutions
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Question 618783: Rewrite sqrt3 sinx- cosx in terms of asine (x+theta).
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Question 618842: how to prove 1/1-sintheta+1/1+sintheta=2sec^2theta
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Question 618918: what is 'i' to the 233 power?
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Question 619004: if tan theta = 1, find sec theta
if cos theta= -4/5, find sin theta
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Question 619000: For all values of theta, cos^2(theta)-1 equals what?
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Question 619096: please help me:
fine the amplitude, period and phase shift of:
3csc(2t+pie/4)
i get the amplitude= 3 phase shift= pi
but i dont know the period

Click here to see answer by stanbon(57203)

Question 619105: please help:
the height of a radio transmission tower is 70 meters and casts a shadow of 30 meters. draw a diagram & find the angle of elevation of the sun?
i understand u may not be able to draw the diagram. thanks:)
Click here to see answer by scott8148(6628)

Question 619103: please help me
how would i solve:
Use the fact that tan(beta)=4 to find:
cot(beta),cos(beta)sec(beta) and csc(beta)
Click here to see answer by stanbon(57203)

Question 619103: please help me
how would i solve:
Use the fact that tan(beta)=4 to find:
cot(beta),cos(beta)sec(beta) and csc(beta)
Click here to see answer by scott8148(6628)

Question 619102: how would find a negative co-terminal angle of 15pi/4
pi/4 would take you one fourth around the circle to the left.
It takes 2 pi to get around the circle once going clockwise. 15/4 = 3+ 3/4 pi which would be 2 pi + 1 + 3/4 pi.
2 pi equals one complete circle and another 3/4 , so you would end up with your terminal side in Quadrant I and co terminal angle would be 45 degrees
Click here to see answer by mathgranny(7)

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