10. A ramp needs to be built to the front door of an office building. The ramp will start 40 feet from the building and is at a height of 5 feet where it joins the building. The ramp will rise at angle of 7.2°. How long will the ramp be? Use your calculator to find the sine of 7.2°. 5ft 1.2° 4oft

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 320…

A: Given diameter of d = 320 millimetres  Each brake pad, which presses against the drum, is s = 309…

Q: Evaluate the sine, cosine, and tangent of the angle 11π/4 without using a calculator.

A:

Q: The cosine of an obtuse angle is –0.77. Calculate the sine of this angle to 4 decimal places.

A:

Q: Find the exact values of the sine, cosine, and tangent of the angle 15°

A: Find the exact values of the sine, cosine, and tangent of the angle 15°

Q: Find 0 (in radians) for an angle having an arc length of 23 and a radius of 15. 0 : [ ? radians

A:

Q: The measure in radians of the central angle of a circle of radius 41 that intercepts an arc of…

A: let  θ be the central angle  s be  the intercepted arc length and  r is the radius of circle  the…

Q: ne, and tangent of the angle without using a calculator. 177 sin(e) = cos(e) = tan(e) =

A: Topic:- trigonometry ratios

Q: cos(?), sin(?); ? in Quadrant III

A: in the 3rd quadrant sin and cos will be negative

Q: ind the values of θ in degrees (0° < θ < 90°) and radians (0 < θ < π/2) without using a…

A: First we find tan theta from cot theta.

Q: Find the angle between 0 radians and 2n radians that is coterminal to the given angle. 41n radians…

A: The given angle is: 41π9  radians

Q: Find the radian measure of the central angle of a circle of radius r =8 yard that intercepts an arc…

A: r= 8 yard ,  S= 18 yard find central angle of a circle

Q: 3. Find the six circular functions of the angle e generated by an arc with a length equal to .

A:

Q: Find an angle θ with π/2<θ<2π that has the same: Sine as π/6: θθ = Cosine as π/6: θθ =

A: solution- we know that π = 180 so we have to calculate π/6 in sine &amp; cosine   180/6 = 30 so sine…

Q: Use the dimensions given in the right triangle below. 15 12 What is the sine of ZA ?

A:

Q: In a right triangle, the side opposite angle β has a length of 16.4 cm. The hypotenuse of the…

A: Given that: Side opposite to angle β, p=16.4 cmHypotenus of triangle, h = 25.1 cm

Q: The sine of any acute angle must be greater than____-and less than____?

A: Let the acute angle is θ We have the interval of acute angle 0&lt;θ&lt;π2

Q: Find the length s of the arc of a circle of radius 49 meters subtended by the central angle 1/7…

A:

Q: Find the angle between 0 radians and 2n radians that is coterminal to the given angle. 2n radians 6.…

A:

Q: Without using a calculator, compute the sine, cosine, and tangent of 330° by using the reference…

A: Given, We have to find sin330° , cos330°  and tan330°

Q: 14 The angle between 0 and 2n in radians that is coterminal with the angle T in 3 radians is

A: The detailed solution is given below  Thank you

Q: 19 21 Choose the function that could be used to find the measure of the angle with the "?". sin COS…

A: Given: A right-angled triangle with hypotenuse 21 units, and a side as 19 units. From the unknown…

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 310…

A: A light truck with manual transmission has a circular brake drum with a diameter of d = 310…

Q: The angle y whose sine is -1/2 and which is in the interval [-pi/2, pi/2] is y = ?what?

A: Write the given statement in mathematical form and find the angle.

Q: The angle between 0 and 2Pi(360) in radians that is terminal with the angle 20/7Pi in radians is…

A: To find the angle between 0 to 2π in radians which is terminal with the angle 20π7 in radians. To…

Q: In AUVW, the measure of ZW=90°, UW = 60, VU = 61, and WV = 11. What is the value of the sine of ZU…

A: Trigonometric ratio , sin (angle ) = Opposite / hypotenuse .

Q: In a circle of radius 12 km, an arc is subtended by a central angle of radians. 5 The exact length…

A:

Q: 2. Find the lengths of both circular arcs of the unit circle connecting the point (–V2/2, -V2/2) and…

A: I have given you detailed solution and also explained each and every step so that you can get it…

Q: Use words to describe the formula for:the sine of half an angle.

A: We can easily derive the formula for the sine of half an angle:   Let's use the trigonometric…

Q: 4. Could you use the Sine Law to determine the length of sidep in the triangle? If so, explain how.…

A: we are given a triangle wth measure of one angle and 2 sides, and askes to weather we can use Sine…

Q: In APQR, the measure of ZR=90°, QP = 73, RQ = 55, and PR = 48. What is the value of the sine of ZP…

A: Given angle R=90° QP=73 RQ=55 And PR=48

Q: In a right triangle, the tangent of angle A is and the cosine of angle A is Based on these values,…

A: Given as  tan A=912 And  cos A=1215

Q: Find the area of the sector of a circle of radius 12 units subtended by an angle of 17π/12 radians.…

A: We know that Area of sector whose subtended angle θ is A=θ2r2 As given  r=12                θ=17π12…

Q: Find an angle θθwith 0∘< θ < 360∘that has the same: Sine as 40∘: θ = ___ degrees Cosine as 40∘: θ…

A: We need to find the same angle between 00&lt;θ&lt;3600.

Q: An acute angle, 8, is in a right triangle such that sine- What is the value of cot 6?

A:

Q: Find an angle 0 with 0° < 0 < 360° that has the same: Sine function value as 240° 0 = %3D degrees…

A: The answer is highlighted in the box.

Q: Use Rythegoeen Thearem to find missing side / 4 cm 5.71 cm B Set up and calculate the trigonometric…

A:

Q: The sine of an obtuse angle is 0.53. Calculate the tangent of this angle to 4 decimal places.

A: Let the angle is ∅

Q: 5) Find PR 20 ft /64* 86 R

A:

Q: Find an angle 0 with 90° < 0 < 360° that has the same: a) Cosine as 43°: 0 = degrees b) Sine as 43°:…

A:

Q: Solve the following problems (using solution by sine law/cosine law): 3. A soccer player takes a…

A:

Q: Given the triangle , find the length of side z using the Law of Sines. /57° 12° Round your final…

A:

Q: a. Find the angle 0 with O°<0<360° that has the same tangent as -50° calculator to verify. What is…

A:

Q: With respect to the given angle of a right triangle, what is the ratio of the opposite side to the…

A:

Q: Find 0 (in radians) for an angle having an arc length of 23 and a radius of 15. 0 = ? radians

A:

Q: Given that sine = 3/5 ande lies in quadrant II, find the following value. cote 3/4 4/5 -4/3

A: Given: sinθ=35 and θ lies in quadrant II.

Q: Find the length of the are of a circle of diameter 6 meters subtended by a central angle of 2…

A:

Q: How many radians are contained in the smaller angle between the hands of a clock at 4PM?

A: we have to tell how many radians are contained in the smaller angle between the hands of a clock at…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.