(a) The radian measure of an angle θ is the length of the  ---Select--- opposite side arc hypotenuse diameter that subtends the angle in a circle of radius  ---Select--- π 1/2 5 1 π/2 .(b) To convert degrees to radians, we multiply by         .(c) To convert radians to degrees, we multiply by         .

Q: A metal sheet is to be cut to form a 3 by 4 by 5 right triangle. If angle A is formed by sides with…

A:

Q: 22) For angle O of the right triangle below: sin 13 CoS tan 12 sec CSC cot

A:

Q: Find a possible formula for the trigonometric function whose values are in the following table. x 0…

A: First thing you should do is to plot the points and you will see this is a negative sine graph. It…

Q: On a right triangle find the exact value for all six trig functions for the angle across from (…

A: Given data: The opposite side of triangle is AB=3 unit. The adjacent side of triangle is BC=1 unit.…

Q: 3-) The terminal arm of an angle in standard position passes through the point (5,9). Find the…

A: Solution

Q: The terminal side of angle θ intersects the unit circle in the first quadrant at x = 20 / 21. What…

A: The terminal side of angle θ intersects theunit circle in the first quadrant at x =2021we find the…

Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

A: Given area formula is not actual, area=(1/2)ab sin(theta)

Q: Evaluate sin-1(-√2 / 2) & sec-1(2√3 / 3). Both are supposed to be in radians.

A: Inverse trigonometry function

Q: Find the values of the six trigonometric functions of tgiven that tant= ¼ and the terminal point…

A: tant=14 and terminal point of t is in quadrant III. Now by using the identity sec2t-tan2t=1, we get…

Q: Use a graphing utility to approximate (to three decimal places) the solutions of the equation in the…

A: The value of the x for which the graph crosses the x-axis will be the solution of the equation.

Q: 9. Approximate, to the nearest 0.01 radians, all angles 0 in the interval 0,27) that satisfy sec 0 =…

A: Given: secθ=-2.638 we know that secx is negative in second and third quadrant so, in given interval…

Q: can you guide me though the proof of the double-angle formula for tan2X = 2tanX/1-tan^2X ?

A:

Q: Suppose a projectile is fired from a cannon with velocity v and angle of elevation 0. The horizontal…

A: In projectile, horizontal range is same at angle θ and π2 - θ for same initial velocity.

Q: #6 Consider a right triangle with legs 3 inches and 4 inches. If θ is the acute angle opposite to…

A:

Q: The terminal side of angle θ intersects the unit circle in the first quadrant at (2/15,y). What are…

A:

Q: f tan 0=3/4 and it’s a Quadrant 3, draw a sketch to show the location of the terminal. Calculate the…

A:

Q: 1. If the platform has been turning for 25 seconds, it has moved through an angle of 225° and is in…

A:

Q: Find the values of the trigonometric functions of theta from the information given. cosine = -6/13,…

A: trigonometry rule find theta

Q: 4. The terminal side of an angle e in standard position passes through the point (-1, 3). Find the…

A:

Q: In the right triangle shown to the right, the angle e is measured in radians. 1. Find tan 0. 2. Find…

A:

Q: 2. A tower is put on level ground such that it is perpendicular to it. Two guy wires brace the tower…

A:

Q: A hiker, who is 6 feet tall, is standing on the ground looking up to the top of a tree with an angle…

A:

Q: 3 = -- and A is a negative acute angle. 4 What is the value of cos - A if tan A = -

A:

Q: Hello, How is tan^-1 (tan (6pi/7)=-pi/7 possible? I don't know how it should be a negative or to use…

A: First consider:

Q: For an angle of 200 degrees give a positive co terminal angle in degrees and a negative co terminal…

A: The given angle  = 200°

Q: Find the exact value of the trigonometric expression given that sin u= - 8/17 and cos v= - 4/5.…

A: We have to find the value of trigonometric expression.

Q: How do I find sin P, cos P, and tan P with these values: p = 2√3 q = √15 r = 3√3

A: How do I find sin P, cos P, and tan P with these values: p = 2√3 q = √15 r = 3√3

Q: The terminal side of angle 0 intersects the unit circle in the first quadrant at (, y). What are the…

A:

Q: A player hits a ball from the ground with an initial velocity  of 85 feet per second at angle θ. If…

A:

Q: I know how to complete this problem. My issue occurs when calculating my first Sin C with 8sin140…

A:

Q: 46. What are the advantages to using the formula a_1- cosa tan 2 sina or tan as opposed to sina 1 +…

A: To obtain the formula for the tan half-angle, write tan x as sin xcos x and then substitute the…

Q: Find the EXACT value of cos(A-B) if sin A = -3/5 where A is in Quadrant III and cos B = -12/13 where…

A:

Q: The​ equation, with a restriction on​ x, is the terminal side of an angle θ in standard position.…

A: Equation is , 3x + y = 0

Q: 4. Why is a SSA ambiguous? Think about the range for y = sin−1 ?. Can the inverse sine ever return…

A: 4. SSA is Side Side Angle From law of sines  asinA=bsinB=csinC For given 2 sides there exist an…

Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

A:

Q: Find the lengths of both circular arcs of the unit circle connecting the point (− 3/2, −1/2) and…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Why are the values for sine increasing when the angle increases from 0° to 90°? A. The hypotenuse is…

A:

Q: Find tan(2x) from the given information: sin(x)=8/17, x in Quadrant I

A: Tan2x = Sin2x/Cos2x.

Q: For some angles x and y drawn in standard position, suppose that sin(x) = 3/5 and cos(y) = -24/25.…

A: Given; Sin(x) = 3/5 Cos(y) = -24/25

Q: The length of the arc (in radian measure) and the  measure of the angle (in radian and degree…

A: Given : The length of the arc (in radian measure) and the  measure of the angle (in radian and…

Q: Find the exact value of the indicated trigonometric function(s) of theta cos theta=-1/7., tan…

A:

Q: Using your calculator and rounding your answers to the nearest hundredth, find the remaining…

A:

Q: 1. A guy wire is attachedſto a 100-foot tower that is perpendicular to the ground. The wire makes an…

A: In both the examples right angle traingle  so we have to use formule of sinx ,cosx , tanx.

Q: 2. An angle of measure * intersects the unit circle at point (-,-). What is the exact value of…

A: In this first we draw the row diagram and then find the tan4pi/3 by using the triangle and this is…

Q: Find the acute angle θ​, to the nearest tenth of a​ degree, for the given function value.…

A: Given: sin θ=0.6951 sin θ=0.6951⇒θ=sin-10.6951=44.035°≈44°

Q: If the terminal side of an angle 0 is in the second quadrant, and sin 0 = , then 2' its reference…

A: topic - trigonometric statements

Q: If we know the values of  sin(x) and cos(x),  we can find the value of  sin(2x)  by using the…

A: If we know the values of sin(x) and cos(x) Then , we can find the value of sin(2x) By Using the…

Q: 13л In terms of the tangent of a positive acute angle, what is the expression for tan 18 Provide…

A: This question is related to trigonometry, we will solve it using given information.

Q: given sin x = 2/3 and cos x < 0, a. Use double angle indentities to find the exact values of sin2x…

A:

Q: cos(Q- P) <0, cos Q - cos P #19. If acute angles P and Q are complementary, (i.e. P+Q = ), and then…

A: Given,          Acute angles P and Q are complementary, i.e. P+Q=π2, and…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.