A rectangular strip of paper of width 4 inches is folded on the dashed line. See the diagram. Certain angles are angled to help solve solutions in part a (show that triangle T is similar to triangle S, answer attached in photo) and part C:

part C: use the diagram to show that tan^-1 2sqrt2 + 2tan^-1 sqrt2 = pi (radians).


Use only the diagram, basic angle facts, and the definitions of tan and tan^-1. In particular, do not use a calculator. 

Transcribed Image Text

Ва T b C с S 4 Пь

Thus, ZA = ZB = 90, ZECB = ZAEF, ZBEC = ZAFE
Hence, we can say, ABEC ~ sAFE
Or, in other words, triangle T is similar to triangle S
Transcribed Image Text

Thus, ZA = ZB = 90, ZECB = ZAEF, ZBEC = ZAFE Hence, we can say, ABEC ~ sAFE Or, in other words, triangle T is similar to triangle S

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


Related Trigonometry Q&A

Find answers to questions asked by students like you.

Q: The following graph shows at least one complete cycle of the graph of an equation containing a trigo...

A: The equation Y=Asin(Bx+D)+C.

Q: photo attached

A: Given,

Q: see attachment

A: To determine the value of sin(2x), cos(2x), tan(2x).

Q: Solve the following equation over the indicated interval. A calculator is required. Calculated answe...

A: Given,

Q: Use the given information and a calculator to find θ to the nearest tenth of a degree, if 0° ≤ θ &lt...

A: Consider the trigonometric equation as cos θ = −0.3546.

Q: Find all values of 0 in the interval [0 360) that have the given function value. cos = 2 (Type an in...

A: Given,

Q: Find the exact values of the six trigonometic functions for the following angle sin 30 degree?

A: It is known that, π/3=30◦Sketch the graph of the unit circle as follows.

Q: see attachment

A: Given,

Q: see attachment

A: We know that,

Q: Solving home work #10

A: To express the given (trigonometric) product as a sum or diffence of sine or cosine functions

Q: Write the given expression as an algebraic expression in x cos(2 tan−1(x))

A: Given:

Q: see attachment

A: To prove that

Q: Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the fi...

A: Given,

Q: A) How does 1/2[(1-cosx)/(sinx)+(sinx)/(1-cosx)] equal on of these: secx, cosx, sinx, tanx, cotx, co...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: Convert the equation to polar form. 7x=7y

A: The given equation is

Q: square root of 2 sin2x-sinx=0

A: Given: 

Q: x 44 45 46 42 43 48 41 49 50 How is the graph of the parent function of y- K transformed to produce ...

A: Click to see the answer

Q: Using the formula ⍵=⍬/t Find ⍵ for the minute hand of a clock.

A: The minute hand rotates one full circle in 1 hour.1 full circle= 360 degree or 2pi radian1 hour= 60 ...

Q: Find the coordinates of the point P on the circumference of the circle. (Hint: Add x- and y-axes, as...

A: To determine the coordinates of the point P.

Q: 0 2.1.17 Question Help Suppose ABC is a right triangle with sides a, b, and c and right angle at C. ...

A: The given figure is,

Q: 17 14 13 15 12 16 Which graph shows the solution to the equation below log3(X+3) logo3(X-1) 1 33 10 ...

A: To obtain the graph of the given equation,

Q: (1) Prove sin(A+B) = sin(A) cos(B)+sin(B) cos(A) by using the formula for cos(A+B)and a cofunction i...

A: Given:

Q: 8|-x/2+7|-7<-3

A: Solve the inequality

Q: cos(pi/2) = ??? and cos(5pi/2) = ?????.

A: Given function is

Q: A thread is being pulled off a spool at the rate of 71.5 cm per sec. Find the radius of the spool if...

A: The number of revolution per minute is 148.

Q: Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the fi...

A: Write csc x= 1/sin x using reciprocal property.

Q: I am confused on how to solve for this question. I originally got an answer of 75,000 feet, which is...

A: Given thatAngular velocity of the point moving on a circular path

Q: establish the following identities: sec^4 theta- tan^4 theta = 1+sin^2 theta/1-sin^2 theta

A: Given:

Q: see attachment

A:  the value of AC=?

Q: Use half angle formulas to fill in the blanks in the identity below: (sin(6x))4= (___________) −1/2c...

A: The half angle formula for sine is,

Q: photo attached

A: From reciprocal property of trigonometry we know sec theta = 1/cos theta

Q: Find the exact value of the expression using the provided information.Find tan(s + t) given that sin...

A: sin s= 1/4 = opposite / hypotenuse. Let opposite=1 and hypotenuse = 4. Adjacent = xs is in quadrant ...

Q: The question asks for the exact value of the trigonometric function at the given real number:   tan(...

A: Given expression can be written as,

Q: Solving

A: From the given equation we solve for cos x.

Q: photo attached

A: Click to see the answer

Q: 2 2. (sin cos x) = sin 2x +1 2х +

A: The given identity

Q: Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the fi...

A: To simplify the given trigonometric expression in the required format

Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2t). (Enter your answe...

A: Given equation is 

Q: see attached

A: The angle A is computed by the formula, the sum of the angle in a triangle is 180 degrees.

Q: Use the fundamental identities to find the value of the trigonometric function.Find csc θ if sin θ =...

A: Find csc θ if sin θ = -  2/3 and θ is in quadrant IV.

Q: What is the exact radian angle measure for pi degrees? the decimal approximation?

A: To convert an angle in degrees to radians, multiply the angle by,