Questions on Algebra: Trigonometry answered by real tutors!

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Question 439348: Find all values of θ in the interval 0 ≤ θ < 360° that satisfy the equation 2 sin^2 θ + sin θ = 1
Thanks
Kamla
Click here to see answer by robertb(4012)

Question 439331: The expression cos70cos10 + sin70sin10 is equivalent to?
Click here to see answer by robertb(4012)

Question 439344: Prove the following identity.
(sin x * tan x + cos x)/ (cos x) = sec^2 x
Click here to see answer by robertb(4012)

Question 439342: (tan x * csc^2 x)/ (1+tan^2 x) = cot x
Click here to see answer by lwsshak3(6522)

Question 439484: Solve for x: (1/3)^(4x-1) = 3^(x-1)
Thanks
Kamla
Click here to see answer by Gogonati(809)

Question 439483: Good morning!
Alas... in need of help on a very simple problem.
tan^2(3x) = 3
I am unsure of where exactly to start on this problem. Have applied the trig identity for tan^2(x) which is (1-cos2x)/(1+cos2x) but am not sure if that is the correct way to go. Please break down and explain!
Thank you!
Click here to see answer by Gogonati(809)

Question 439644: Prove this is equivalent.
[(1+ sin B)/ (cos B)] = [(cos B)/(1 - cos B)]

Click here to see answer by robertb(4012)

Question 439650: Prove the following identity
(1+sin B)/(cos B) = (cos B)/(1-sin B)
Click here to see answer by robertb(4012)

Question 440172: After an oven is turned on, its temperature T, is represented by the equation
T = 420 - 350 (3.2)^-.1m , where m represents the number of minutes after the oven is turned on and T represents the temperature of the oven in degrees Fahrenheit. How many minutes does the oven take to reach a temperature of 320F? Round your answer to the nearest minute.
Click here to see answer by ewatrrr(10682)

Question 440429: if sec data or theta equals square root if five then cos data or theta equals?
Click here to see answer by richard1234(5390)

Question 440605: Question: simplify the following
a) (sin(x)cot(x)+cos(x))/sin(x)

The answer I got : 2cos(x)
*I have no idea if I did this right it was just a guess.
Any help you can give me would be greatly appreciated, thanks so much.
Sincerely:
Struggling student

Click here to see answer by stanbon(57399)

Question 440611: Question: simplify the following expressions:
a) (csc(x)tan(x))/(sec(x)cot(x))

answer I got:
tan(x)
Thanks so much, any help is greatly appreciated!
Click here to see answer by stanbon(57399)

Question 440612: Question: Simplify the following
a) (sin(x)cos(x))^2 - sin2(x)

Thanks greatly!
Click here to see answer by stanbon(57399)

Question 440575: Triangle ABC is an isoceles triangle. Its base is 16.2 cm and one base angle is 63 degrees 20 minutes. Find the length of one of the congruent sides to the nearest hundredth of a cm.
Thanks
Click here to see answer by lwsshak3(6522)

Question 440618: Question: The terminal arm of an angle in standard position makes 2.2 revolutions counter-clockwise. Find the radian measure of the principal co-terminal angle, correct to the nearest hundredth.
Click here to see answer by lwsshak3(6522)

Question 440209: Given F(x)= -2cos(pi times x + pi divided by 6)
State the phase and period angle of F(x)
Click here to see answer by lwsshak3(6522)

Question 440719: Find the value of cot 30°.

Click here to see answer by Alan3354(30993)

Question 440735: The equation tan x = 4 cos x has two roots in the interval -180 <= x => 180. These are denoted by A and B, where A > B. Express B in terms of A.
Click here to see answer by Alan3354(30993)

Question 440956: name the quadrant in which angle theta may lie if csc theta > 0 and cos theta < 0.
Click here to see answer by lwsshak3(6522)

Question 440963: If (-2,-5) is a point on the terminal side of an angle theta in standard positive.evaluate all six trigometric functions of theta in simplest radical form.
Click here to see answer by lwsshak3(6522)

Question 440978: how do i rewrite the following trigonometric functions using angles between 0 and 90 degrees?
sin 150 degrees= sin________?
sin 150 degrees= cos________?
csc 45 degrees= sec________?
cos-30 degrees= cos________?
cos-30 degrees= sin________?
cot 75 degrees= tan________?
Click here to see answer by stanbon(57399)

Question 440929: If sin(x) = 3/5 and cos(a) = 7/25 and (x) and (a) are both acute angles find cos((x) + (a)) ALGEBRAICALLY!
Click here to see answer by lwsshak3(6522)

Question 440749: Question: Solve the following identity equations:
a) sin(x) - √(3)cos(x) = 0
Click here to see answer by lwsshak3(6522)

Question 440378: if a right triangle has an acite angle such that the Cot(theta)= 15, what is the Cos(theta)?
Click here to see answer by lwsshak3(6522)

Question 441098: Find the values of 'a' for the domain indicated:
5sin(a) - 2 = sin(a) + 1
Click here to see answer by stanbon(57399)

Question 441181: verify identity
cos^2x-2sin^2x=3cos^2x-2
Click here to see answer by Gogonati(809)

Question 441226: Prove
(cot^2x)/(sinx+cosx)=(cos^2xsinx-cos^3x)/(2sin^4x-sin^2x)
Click here to see answer by Gogonati(809)

Question 441347: convert the following into degrees, minutes and seconds.
a.) -1.4
b.) 9.6
Click here to see answer by MathLover1(6638)

Question 441379: write an equivalent expression: (³√64x^4 y^3)
Choices: (1) 2x
(2) 2x^(4/3)y
(3) 4x^(4/3)y
(4) 4x^12 y^9
Thanks
Click here to see answer by ewatrrr(10682)

Question 441472: Find the smallest postive number t such that e^sin(t)=3/4
I tried t=arcsin(ln(3/4))
I'm not sure where else to go from here
Click here to see answer by Alan3354(30993)

Question 441628: find all solutions for the given interval 0 degrees is less than or equal theta is less than or equal to 360 degrees
Problem is sin 0 + cos 0 =1
Click here to see answer by robertb(4012)

Question 441821: Without using a calculator or maths tables, construct the angle A such that sinA = 4/5
Click here to see answer by stanbon(57399)

Question 441825: express tan 300 as a function of a positive acute angle
Click here to see answer by MathLover1(6638)

Question 441871: if sinθ= √5/3, then cos2θ equals
can you please show the steps!
Click here to see answer by Gogonati(809)

Question 442109: The expression sin A + cos^2A/sin A is equivalent to
Click here to see answer by MathLover1(6638)

Question 442089: Find the smallest positive number t such that e^sin(t) = 2/3.
I tried arcsin(ln(2/3)) but my online homework site said it was wrong. Can you please help me?
Click here to see answer by richard1234(5390)

Question 442113:
..
Click here to see answer by lwsshak3(6522)

Question 442093: What is the angle between the positive horizontal axis and the line containing the points (9,7) and (10,10)?
I do not understand how to find the line from the two points, and then the angle
Click here to see answer by lwsshak3(6522)

Question 442097: Hilly areas often have road signs giving the percentage grade for the road. A 5% grade, for example, means that the altitude changes by 5 feet for each 100 feet of horizontal distance.
Suppose an uphill road sign indicates a road grade of 3%. What is the angle of elevation of the road?
Click here to see answer by Alan3354(30993)

Question 441746: How do you write the equation sin(2theta)=tan(theta) in rectangular form?
Click here to see answer by lwsshak3(6522)

Question 441151: Please prove the following trigonometric identity:
[(1-cos(a))/(sin(a)] + [sin(a)/(1-cos(a))] = 2csc(a)
Thank you for your time! It is much appreciated!
Click here to see answer by lwsshak3(6522)

Question 441630: find all solutions for the given interval o degrees less than or equal to theta less than or equal to 360 degrees
problem cos^2 theta = 1/4
Click here to see answer by lwsshak3(6522)

Question 441147: cos(a) - 2sin^2 (a)-1 = 0
Click here to see answer by lwsshak3(6522)

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