03/20/18

Find, to the nearest unit, the length of each diagonal

The length of each side of a rhombus is 12. The measure of an angle between two adjacent sides is 40. Find, to the nearest unit, the length of each diagonal

03/14/18

Verify the identity: sin(a+b)/tana+tanb=cosacosb

 Verify the identity.

03/01/18

A hot air balloon is flying in the sky near a 45-meter high building. The angle of depression of the top and the bottom of the building from the operator are 10

degrees and 22 degrees respectively. Find the horizontal distance between the balloon and the building.   thank youu so much in advance geniuss!💓 y'all helped me alot 😊

02/05/18

A diagram shows a sector of a circle with centre O and radius 20cm.

A circle with centre C and radius xcm lies within the sector and touches P,Q,R |<POR|=1.29 radians. (a)By considering the triangle POC, show that x is equal to 7.5cm, correct to one decimal... more

TRIG 1/2 ANGLE FORUMLAS

The questions are: "If sin B = -1/3 with B in QIII, find tan B/2. Also find sin B/2   The answer for tan B/2 is-3-2sqrt(2)   The answer for sin B/2 is \sqrt((3+2\sqrt(2))/(6))   These are... more

01/26/18

I'm given the sequence 5^1/2, (5 + 5^1/2), (5 + (5+5^1/2)^1/2). How do I define it recursively?

I can't seem to figure out the relation recursively even if there's clearly a pattern. 

Rewriting trigonometric identities

How do I rewrite (tanθ+secθ)/cosθ in terms of sinθ? (fully simplified)

12/27/17

graph of the function

what would be the graph of functions F(X) = f(2x)-1G(X)= 1-2f(x)

11/04/17

Find the point of the line

Find the point on the line 5x+3y+3=0 which is closest to the point (-3,3).   =(?, ?)

Consider the curve C given by the equation

Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and (0, y1) are x and y... more

11/01/17

A curve C is given by the equation:

A curve C is given by the equation:x2 + y2 = (2x2 + 2y2 − x)2(a) Find all points (0, y) on the curve C, where y≠0. (b) At each of the points found in the part (a) above, find an equation of the... more

11/01/17

Consider the curve C given by the equation

Consider the curve C given by the equation: C · · · √ x + √ y = √ a,   where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and (0, y1) are x and... more

11/01/17

calculus optimization see below

An observatory is to be in the form of a right circular cylinder surmounted by a hemispherical dome. If the hemispherical dome costs 22 times as much per square foot as the cylindrical wall, what... more

10/29/17

find the limit as h approaches 0

find limh→0 {[(27+h)(1/3)] - 3} / h

10/26/17

Write a linear function with f(0) = 7 and f(3) =1

How do I write the equation for f(x) With f(0) =7 and f(3) =1

Given any Cartesian coordinates, (x,y), there are polar coodinates

Given any Cartesian coordinates, (x,y), there are polar coordinates (r,θ) with (-pie/2) < θ ≤ (pie/2). Find polar coordinates with (-pie/2) < θ ≤ (pie/2) for the following Cartesian... more

10/25/17

Maclaurin series and radius of convergence

Find the maclaurin of f(x)= ∫ (from 0 to x) t2 e^(t)2 dt and find its redius of convergence   I dont understand what the integral means ? 

How would you determine the lengths of all sides of a similar right triangle that is 1" offset from all sides?

Given a right triangle with a base (side A) of 44", a height (side B) of 22" and a hypotenuse (side C) of 49.1935" (based on Pythagorean theorem). How would I determine the lengths of each side of... more

Find the Function

Find the function of the form f(x)=a+bcos(cx) that is tangent to the line y=1 at the point (0,1), and tangent to the line y = x + (3/2) - (pi/4) at the point (pi/4, 3/2).

through (4, 3) and parallel to the line whose equation is 4x + y = 5

find the equation of the line with the properties given 

Find cos2x if sin(X)= 9/41.

Can you please show every step? Thanks!

10/09/17

related rates

the sides of an equilateral triangle are increasing at a rate of 10cm/min. at what rate is this area of the triangle increasing when the sides are 30 cm long?   i ended up with 260cm^2/min which... more

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