Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 410609: how to verify the identity of problem
tan^2(x)-sin^2(x)=sin^4(x)sec^2(x)
Click here to see answer by lwsshak3(6755)

Question 410612: how to verify the identity of problem
sin^3(x)+cos^3(x)=(sin(x)+cos(x))(1-sin(x)cos(x))
Click here to see answer by lwsshak3(6755)

Question 410462: please help me solve these equations
3log(3y+2) = log(3y+2) - log7
and
( log(5x-6) / logx ) = 2
Click here to see answer by lwsshak3(6755)

Question 410966: How to solve a problem like this: Find the exact value of each of the remaining trigonometric functions of theta...My problem is cos= -4/5 thata, in Q III.
Also, How do I solve sin =5/13, 90 degrees< theta <180 degrees.
Click here to see answer by jsmallt9(3296)

Question 410438: Solve for x : (1/3)^x = 81^1-x
Click here to see answer by robertb(4012)

Question 411320: Determine the sum and product of the roots of 3y^2– 2y + 12 = 0
I need your help please.
Thank you very much
Click here to see answer by ewatrrr(10682)

Question 411323: What is the sum (S) and the product (P) of the roots of the equation
2x^2 - 4x + 1 = 0?

I need your help please.
Thank you very much
Click here to see answer by richard1234(5390)

Question 411559: Find the solution set in a +bi form: 6x^2 + 4x +1 =0
I tried and here is what I have so far then I'm lost.
Use the quadratic equation. The constants are a=6, b=4 and c=1.
x = -b +/-sqrt(b^2-4ac)]/12
Thank you so much
Click here to see answer by ewatrrr(10682)

Question 411563: If the roots of quadratic equation are -7 and -5, write the equation in ax^2 + bx + c = 0 form.
Here is what I've so far: x^2 + 12x + 35 = 0...then I don't know what to do next.
Can you please help!
Thank you so much!
Click here to see answer by ewatrrr(10682)

Question 411322: If the roots of quadratic equation are -7 and -5, write the equation in
ax^2 + bx + c = 0 form.

I need your help please.
Thank you very much
Click here to see answer by sudhanshu_kmr(1152)

Question 411596: Write an equation in the form ax^2 + bx + c = 0 if the sum of the roots is 5 and the product of the roots is 3.
Thanks very much!
Click here to see answer by richard1234(5390)

Question 411318: Find the solution set in a +bi form: 6x^2 + 4x +1 =0
I need your help please.
Thank you very much
Click here to see answer by lwsshak3(6755)

Question 371430: Find the probability, expressed as a simplified fraction, that a randomly selected American, aged 25 (or over),has completed four years of high school only or is a woman? Please help me answer with correct formula
Click here to see answer by brokeside(1)

Question 412165: how to put tan of 225 in fraction form

Click here to see answer by solver91311(17077)

Question 412298: simplify sin2 pie/10+cos2 pie/10
Click here to see answer by richard1234(5390)

Question 412125: Find all values of x over -2pi and under 2pi. The problem is sin x = -.7
I know that you first use inverse sine to find the first angle but I don't know how to find the other angle measures. Please help! Thank you!(:
Click here to see answer by jsmallt9(3296)

Question 412206: theta is a central angle in a circle of radius r = 5 mm. Find the length of arc s cut off by theta; = 330°. (Round the answer to two decimal places.) How do you work this problem?
Click here to see answer by jsmallt9(3296)

Question 412210: Find the area of the sector formed by central angle θ = 3π/5 in a circle of radius r = 8 m. (Round the answer to two decimal places.)
Click here to see answer by jsmallt9(3296)

Question 412209: The minute hand of a clock is 1.3 centimeters long. How far does the tip of the minute hand travel in 45 minutes? (Round the answer to two decimal places.)
Click here to see answer by jsmallt9(3296)

Question 412586: Determine the sum and product of the roots of 3y^2– 2y + 12 = 0
Thanks
Click here to see answer by ewatrrr(10682)

Question 412586: Determine the sum and product of the roots of 3y^2– 2y + 12 = 0
Thanks
Click here to see answer by solver91311(17077)

Question 413472: 12. Is x • x ever equal to x?
Click here to see answer by richard1234(5390)

Question 413529: If cosx =4/5 and cos y =12/13,find sin (x+y) when x and y are the measures of two first quadrant angles
Click here to see answer by jsmallt9(3296)

Question 413602: please help me solve this identity 1-2cos^2 x=2sin^2 x-1
Click here to see answer by ewatrrr(10682)

Question 413673: for each parabola find the vertex, focus, and directrix.Then draw a graph
(x-1)^2-2(y+1)=0
Click here to see answer by MathLover1(6810)

Question 413883: "simplify the expression by using a double angle formula or a half angle formula
2 sin 18% cos 18%"

Click here to see answer by jjordan95(63)

Question 414145: express ((2/3)x-1))^2 as a trinomial
Click here to see answer by MathLover1(6810)

Question 413990: A woman standing on a hill sees a flagpole that she knows is 60ft tall. The angle of depression to the bottom of the pole is 14, and the angle of elevation to the top of the pole is 18. Find her distance x from the pole.
Click here to see answer by jsmallt9(3296)

Question 413725: sinx*cos^2x=sinx
Click here to see answer by jsmallt9(3296)

Question 413727: sin2x=-2sinx
Click here to see answer by jsmallt9(3296)

Question 414670: Find, to the nearest degree, the solution set of tan^2 x -5 tan x+6=0 over the domain 0 degrees
Click here to see answer by ewatrrr(10682)

Question 414801: Find cosq = -.2361
when i put it into my calculator, it won't do it.
Click here to see answer by Edwin McCravy(8999)

Question 414860: What is the reference angle for 210 degrees?
Click here to see answer by Edwin McCravy(8999)

Question 415003: Please help me with my last problem::
On cloudy days, the sun intensity I (in calories per square centimeter) is given by I = I(max) sin‚‚^2 (pi t / D) where I(max) is the largest sun intensity and D is the number of daylight hours. If D = 12, how many hours after sunrise is intensity exactly half of the maximum level? (Assume t is in between zero and D)
Thank you very much!!

Click here to see answer by stanbon(57962)

Question 415011: graph and find the vertex, y-intercept and line of symmetry of the following equation: y=(x-3)^2+4.
Click here to see answer by stanbon(57962)

Question 414999: Please help me with my last problem::
On cloudy days, the sun intensity I (in calories per square centimeter) is given by I = I(max) sin‚‚^2 ( t / D) where I(max) is the largest sun intensity and D is the number of daylight hours. If D = 12, how many hours after sunrise is intensity exactly half of the maximum level? (Assume t is in between zero and D)
Thank you very much!!

Click here to see answer by stanbon(57962)

Question 415120: Solve the cos x-1 =0 on the interval 0≤x≤pi/2
x+ π/3
x=0
x=π/6
x=π/4
Click here to see answer by richard1234(5390)

Question 415101: If v = 300 and theta is 75 degrees, what is the absolute value of v?
Click here to see answer by richard1234(5390)

Question 415178: Prove the identity

Click here to see answer by ewatrrr(10682)

Question 415408: If f(x)=4x^0+(4x)^-1, what is the value of f(4)
Click here to see answer by praseenakos@yahoo.com(507)

Question 415283: Using reference agnles, how do I find the exact values of
1) sec 240 degrees=
2) tan 9pi/2=
3) cot 13pi/3=
Click here to see answer by lwsshak3(6755)

Question 415480: How do i find the remaining five trigonometric function values for Sin delta = 1/5 and delta is in the second quadrant? Thank you!
Click here to see answer by stanbon(57962)

Question 415771: How would you prove: tanAsinA+cosA=secA??
Click here to see answer by ewatrrr(10682)

Question 415819: how to express cos(90-a) in simplest form
Click here to see answer by htmentor(807)

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