Name the quadrant in which the given conditions are satisfied: sin(θ)>0,cos(θ)>0.Given: tan(θ)=−3√3 and sec(θ)>0. Which of the following can be the angle θ?Let P(x,y) denote the point where the terminal side of an angle θ meets the unit circle. If P is in Quadrant IV and x=57, find tan(θ).Let P(x,y) denote the point where the terminal side of an angle θ meets the unit circle. If P is in Quadrant II and y=513, find cot(θ)+csc(θ).

Question

Name the quadrant in which the given conditions are satisfied: sin(θ)>0,cos(θ)>0.

Given: tan(θ)=−3√3 and sec(θ)>0. Which of the following can be the angle θ?

Let P(x,y) denote the point where the terminal side of an angle θ meets the unit circle. If P is in Quadrant IV and x=57, find tan(θ).
Let P(x,y) denote the point where the terminal side of an angle θ meets the unit circle. If P is in Quadrant II and y=513, find cot(θ)+csc(θ).

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Functions

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Find the aveage temperature in the box. Please refer to image. The bounds of x are 0 and ln3 The bo...

A: Given information:The given temperature distribution is T(x,y,z)=15e-x-y-z.

Q: Is y=ex −5x−8 a solution to the initial value problem shown below? y′−5x=3+y y(0)=−7

A: The given differential equation is y=ex −5x−8.The solution of the deferential equation is given as, ...

Q: 3 dx = 1 2x 8 In 국 5 -4 In 2 In을 -2 In -8 In LOn LOn

A: Obtain the value of the integral as follows.The given integral is,

Q: Kindly help

A: Given information:The given intergal is  

Q: What is the solution to the initial value problem below? y′=5ex +8x3 +x2 +4x y(0)=3 Do not include "...

A: The given differential equation is, y′=5ex +8x3 +x2 +4x.

Q: Help with #9

A: For a given curve r(t), the tangential component aT and the normal component aN are given by express...

Q: Find the derivative of y with respect to x

A: we are given an inverse function 

Q: please explain how to find GINI Index if the lorenz function is Y=0.92x1.96 My answer book says the ...

A: The given Lorenz function is,

Q: Hello,  I need help explaining how pi(k)/2 came about, I know where pi/4 came from. Thank you for th...

A: Consider the provided trigonometry equation.

Q: k 5k! x Find the radius of convergence of- (2kk The radius of convergence is Type an exact answer in...

A: We have to find radius of convergence of series.Series is given below:

Q: Need help with D, E, and F.  Anser A- h= 17.92/(pi)r^2 Answer B-S(r)= 35.84/r + (pi)r^2 Answer C- S'...

A: Given information:The surafce area of the baking powder is shown below: 

Q: For each of the following integrals, indicate whether integration by substitution or integration by ...

A: Known fact:Integration by parts:When an integral contains the product of two functions, then integra...

Q: Calculus Question

A: The given curve is,

Q: A car is traveling at a rate of 23 kilometers per hour when t=7 hours. The acceleration of the car i...

A: To calculate the velocity from the given data 

Q: Find the area, in square units, bounded above by g(x)=6x−1 and below by f(x)=7x−15 over the interval...

A: It is given that region is

Q: Please help me solve this differential equation.

A: Let, z=x-y

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: Given infromation:The given funcion is  

Q: Determine the radius of convergence of the following power series. Then test the endpoints to determ...

A: The power series is given as

Q: 13. The cost of producing x ounces of gold from a new gold mine is C= f(x) dollars. (a) What is the ...

A: Given cost function is:Cost of producing x ounces.

Q: Suppose that the demand for a product is given by  p= 1/2ln (5000-q/q+1) where p is in hundreds of d...

A: The elasticity of demand when the quantity demanded (q) is 2 and the price (p) is 3.71 hundreds of d...

Q: Calculus Question

A: Let's call the given integral as I. Further let's make the substitution: x2 + 1 = zHence, 2xdx = dzP...

Q: a), b) and c) please. I also forgot how to write interval notation....

A: To find the direction we have to graph the function v(t)= 3t^2-36t+105 ; [0,8]. And then we check th...

Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find  the slope of the secant line between x=2 and x=5 on the graph of the function f(x)....

Q: Calculate the directional derivative in the direction of v at the given point. fx, v)- tan Cy). -(1,...

A:  The partial derivatives of f(x,y) at the point (x,y)=(5,2)are:

Q: lim x→-4   x2-16/x+4

A: The given function is f(x)=  (x2-16)/(x+4)The limit of the function is to be calculated

Q: approximate the area under the graph of f(x) and above the x-axis using the left, right, and midpoin...

A: f(x) = 3x + 2 from  x=1  to  x=3; n = 4dx = Width of each rectangle = (3 - 1) / n = 2 /4 = 0.50

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: Calculation:The given function is f(x) = 2(5x)x defined on interval [0.05, 1].In order to find the l...

Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

Q: a) and b) please

A: Part (a)The population of the town in 2016 is 63,000 and the growth rate is 2.3% per year.

Q: what are the steps to solving |x-4| > 9

A: We have to solve the inequality.Inequality is given below:

Q: Need solution to 4).d.  thanks

A: (d)The limit is a point, where the function approaches the input.The limit value of the given expres...

Q: Please help me about this.

A: The radius of convergence is 4 which can be computed as follows.

Q: Can somebody help me on how to evaluate the integral.

A: Refer to the question, first evaluate the given integral in indefinite form that is with the limits.

Q: A three times differentiable function fwith f'(x) 0 has a D-derivative at x given 2 f'"(x) 3(f"(x) D...

A: We’ll answer the first question since the exact one wasn't specified. Please submit a new question s...

Q: Calculate the area, in square units, bounded above by g(x)=2x+4 and below by f(x)=3x+9 over the inte...

A: Area of region between g(x) and f(x) over the interval [-26,-23] is computed as follows.

Q: Determine whether the following series converges. Justify your answer 9(4k)! Σ k=1 (kl)* Select the ...

A: Consider the given series:

Q: please explain how to solve this problem

A: Consider x be the number of times the price is reduced by $0.05.

Q: Find the derivative of the inverse function  f(x) = x/x+2

A: Click to see the answer

Q: f(x)= 16x2-4x+2; x=1 (a) Find the derivative, by using the definition (b) Find the instantaneous rat...

A: (A) Found the derivative using the definition. Answer: f'(x)=32x-4

Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: A) and B) please! I keep trying hahah.

A: To determine the correct choice from (A) and (B) by calculating the position function using antideri...