1. ### area bounded by (y^2) + (x-2)^2 = 4 and y = x in first quadrant

Evaluate ydA where R is region between (y^2) + (x-2)^2 = 4 and y = x in first quadrant ...My ans is 32/3 , but given ans is 4/3.. What's wrong with my working?
2. ### Find sin(a - b) if sin(a)= 5/13 where a is in the second quadrant and cos(b)= -7/25 w

1. Find sin(a - b) if sin(a)= 5/13 where a is in the second quadrant and cos(b)= -7/25 where b is in the third quadrant. 2. Find cos(a + b) if sin(a)= 8/17 where a is in the first quadrant and tan(b)= -7/24 where b is in the second quadrant. This is what I got for number 1: sinα = 5/13...
3. ### Question on Tangent in Acute quadrant

Hello everyone Greetings. Need help on this textbook question: The tangent for an acute angle x, is m. Find cos2x. Texbook answer : (1-m^2)/(1+m^2) My answer: cos2x = cos^2 - sin^2 = 1 - (sin^2 /cos^2 ) = 1 - tan^2 = 1 - m^2 Appreciate your help to clarify, thank...
4. ### If the point P(-3/5, y) lies on the unit circle and P is in the second quadrant, what

If the point P(-3/5, y) lies on the unit circle and P is in the second quadrant, what does y equal? Is this math right? (-3/5)^2 + y^2 = 1 y^2 = 1 - 9/25 y^2 = 16/25 Answer: y = 4/5
5. ### If cot θ = 3/4 and the terminal point determined by θ is in quadrant 3, then:

If cot θ = 3/4 and the terminal point determined by θ is in quadrant 3, then:

anyone give example ?
7. ### double integral of x(1+y^2)^-0.5 over region in first quadrant bounded by

bounded by y=x^2, y=4, x=0. picture: graph y = x^2, y=4, and x=0 from x=0 to x=2 - Wolfram|Alpha i set my integral: integrate 0 to 2 [ integrate x^2 to 4 x(1+y^2)^-0.5 dy ] dx then I tried doing it, first integral results: x[arcsinh(y)] from 4 to x^2 but second integral, how to integrate...
8. ### Defining the quadrant of an angle within the equation

So I have to scale down a triangle in space to have a preset hypotinuse (i.e. shrinking a line and keeping the angle). initially I came up with (see case1.bmp). but this only allows for triangles in northwest. so I came up with (see case2b.bmp) to output the point on bothe sides. I have now hit...
9. ### Find sin(alpha + beta) and cos(alpha + beta) and Quadrant of the angle (alpha + beta)

Given sin alpha = 2/5 , cos beta = -1/3 alpha is in quadrant 2 and beta is in quadrant 3. Find sin(alpha + beta) and cos(alpha + beta) and Quadrant of the angle (alpha + beta). Circle your final answers or underline your final answrs and exact answers only.

Can anyone answer the following 3 questions? And state quadrant? (1) Sin 186 (2) tan 150 (3) cos(-65)
11. ### Find the Cos(2alpha) when its in the 2nd quadrant

Given and is in quadrant II, find exact values of the six trigonometric functions. = . = . = . = . = . = . I know I need to set cos(2\alpha)=1-2\sin^2(\alpha) which is then \frac{31}{49}=1-2\sin^2(\alpha) which is then 2\sin^2(\alpha)=1-\frac{31}{49} now I...
12. ### find possible slopes of line passing thru (4,3) so portion of line in first quadrant

...forms triangle of area 27 wit positive coordinate axes. book has answer -3/2 or -3/8 i found first answeer but not second???
13. ### determine the quadrant in which an angle lies. help!

hello u math brainiacs (Cool) i need help! how do i go about determining which quadrant the angle lies in? ex) -5pi/6 please explain thoroughly so i can take notes and as easy as possible :) because i tried and cant figure it out. thanks!
14. ### Name The Quadrant in which The Angle lies.

\cos \theta < 0, \csc \theta < 0

I understand that if Cosθ is say 2/3, and 0<θ<pi/2 then both x and y are positive since that limit shows the angle is in quadrant 1. However, in that same context, SinB is 3/5, and -pi/2<B<0 what does that mean? why is the pi/2 now on the left and negative? What does that do to X, Y, and R?
16. ### the number of roots of a polynomial in the first quadrant

I have to find out how many roots the polynomial f(z)=z^8+3z^7-z^5+2z^4+z+1,\,z\in\mathbb{C} has in the first quadrant. Certainly, I need to use the argument principle, but I don't see how. Here's what I tried. All zeroes of f lie in \{z\in\mathbb{C}:|z|<4\}, which follows from applying the...
17. ### Trigonometry questions involving multiple topics

Math is definitely NOT my subject & my "teacher" CAN'T teach. So some help would be amazing! Here are some example questions I want to understand: 1. How do you find the reference angles for: -190° -3π/4 5π/8 2. Are the following true or false & why? cos(-175°) = cos(175°) cos(32°)...
18. ### Method of Images - 1st Quadrant

Solve \bigtriangledown ^2 G = \delta (x - x_0) in the first quadrant (x \geq 0, y \geq 0) with G = 0 on the boundaries in 2 dimensions. Now I know the solution to this problem for the half-plane (y \geq 0, - \infty < x < \infty) is determined by the fact that G = \frac{1}{2 \pi} \ln...
19. ### Finding quadrant for a half angle.

I'm given the following problem: If cos(x) = \frac{-5}{13} and sin(x) < 0 find cos(\frac{x}{2}) Since both cos(x) and sin(x) are negative, I know that x lies in quadrant III. But I'm not sure how I can determine what quadrant (\frac{x}{2}) lies in. I know how to solve this problem using the...
20. ### Equation of a quadrant (of a circle)

As the picture implies I am currently taking a calculus course at a university, and of course we are starting off with some review after forgetting everything over the summer The section that this question is under is titled "Inverses, logarithms, and exponential functions" but honestly I have...