sec? x csc? x = sec² x + csc² x

Q: Sketch a triangle that has acute angle θ. sec(θ) =  16 3         Find the other…

A: So we will take adjacent = 3  hypotenuse = 16  So the triangle looks roughly like: In the picture…

Q: Find the exact values of the six trigonometric ratios of the angle 0 in the triangle. 120 123…

A: To find the value of trigonometric ratios.

Q: trigonometric function values of

A: We have to evaluate sec180°2+4tan180°2+9cos180°

Q: Explain how a point P1x, y2 on a circle of radius r determines an angle u and the values of the six…

A: The unit circle is given by x2+y2=1 because the radius is one. We can define all six trig functions…

Q: Find the remaining trigonometric ratios of e based on the given information. sin 8 = and e is not in…

A:

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: Look at the triangles 30° Which trigonometric ratios can be determined from the triangles? Select…

A: From the given triangle, we have to find the trigonometric ratios

Q: 2. What are the remaining trigonometric functions of 0 is sec 0 = 17 and cot 0 < 0. 8. Show the…

A:

Q: 5. REPRESENT – If the point (-, is a point on the unit circle that corresponds to angle 0, then find…

A: According to question Point (P)=-659,49x=-659,y=49

Q: Find the values of all six trigonometric functions for an angle in standard position having each…

A: given (x,y)=(9,-2) r=x2+y2r=92+(-2)2r=81+4r=85

Q: 22. Find the values of all six trigonometric functions for an angle in standard position having each…

A:

Q: A 103-foot wire is used to support a utility tower. It runs from the tower to the ground and forms a…

A: As given length of wire is 103 feet Let the distance from base of the utility tower and the location…

Q: Use De Moivre's Theorem to find (3(cos 25°+i sin 25°))°. Write your answer in trigonometric form.…

A: We have to  simplify

Q: The terminal side of angle 6 intersects the unit circle in the first quadrant at x = What are the…

A: Recall: Put x=r cosθ ; y= r sinθ sin2θ + cos2θ =1

Q: Express as a trigonometric function of one angle. cos 48° cos 22° + sin 48° sin 22°

A: We will use cosAcosB+sinAsinB= cos(A-B) formula  With A= 48 and B= 22

Q: Use trigonometric identities to simplify the expression. 1 tan(0)cot(-0) Answer

A: Let's find.

Q: In a right triangle, 0 is an acute angle and tan 0= 6. What is the exact value of sin 0? 5 %3D

A:

Q: Explain why the co-function identity is true: sin A = cos(90 - A) Then draw or find a triangle with…

A: This question can be solved using the concept of trigonometric identities.

Q: If Sin θ 0, then θ lies in which quadrant?

A: Given that, Sin θ &lt; 0 and Cos θ &gt; 0   Since, Sin θ is negative in quadrant III and quadrant IV…

Q: 7. 24 , find csc 0 using trigonometric identities. Explain which identities to use. 2. If 0° <0 <…

A:

Q: The point (x,y) is on the terminal side of angle in standard position.Find the exact value of the…

A: Given- The point -5,11 is on the terminal side of angle in standard position.  To Find- The exact…

Q: By drawing a relevant triangle, prove that tan θ = sin θ/cos θ and cos² θ + sin² θ = 1

A: Solution:Let a,b,c be lengths of right angle traingleBy defination,tan θ=baopposite sideAdjacent…

Q: The terminal side of angle & goes through the point 10 Find cos (o), sin (&), tan (e), on the unit…

A: Given, The coordinates of point on the unit circle x,y=1010,310 We have to find the value of cosθ,…

Q: 4. If tan 0 = 3, find the other 5 trigonometric values of 0. Answers must be in exact form, not…

A: The detailed solution is as follows below:

Q: 5. Find the values of the six trigonometric functions for the angles in standard position having the…

A:

Q: How do you solve it and can you show me step by step?

A: Constructing a 60 degree angle: Step 1: first draw the base line AB, place the point of the compass…

Q: 3. 4)

A: The figure of the right angle triangle is  To evaluate: The values of six trigonometric functions…

Q: The point (x,y) is on the terminal side of angle in standard position.Find the exact value of the…

A: Given: The point (x,y) is on the terminal side of angle in standard position. (6,-3) To find tanθ.

Q: Find all angles 0 between 0° and 180° satisfying the equation tan(0) 0.69. degrees If there are…

A:

Q: cot x + tan x sec x 8. Simplify non-permissible values of the original expression in the domain 0sx<…

A: simplification of given function to one of three reciprocal trigonometric ratios is F(x)=1/sinx

Q: Find the values of the six trigonometric functions of the angle 0 if the point (1, 8) lies on the…

A:

Q: To determine the length of side b. What trigonometric function must be used. A.)tangent, B.)sine,…

A: Explanation of the answer is as follows

Q: Use a half-angle formula to find the exact value of sin 12 5n sin 12 %3D %3D

A: See the details solution in below

Q: The point is on the terminal side of an angle in standard position. Determine the exact values of…

A:

Q: The terminal side of angle 0 intersects the unit circle in the first quadrant at x = . What are the…

A: The terminal side of an angleintersects the unit in the first quadrant at Now if (x, y) is any…

Q: Find the values of the six trigonometric functions for angle 9. 1. 2. 3. 13 3 8. 2. CO

A:

Q: 2) Verify that the equation is an Identity. Use Tug detts, changalat side to quil ths ghtside tan 0…

A:

Q: sin O = csc e = B. cos O = sec e = tan O = cot O = 14

A:

Q: Find the value of angle x. Round to the nearest degree. 7 10 to

A: Given,

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: 2. Given one trigonometric value of an angle in Quadrant I, be able to give the exact values of the…

A: Given one trigonometric value of an angle in quadrant I.  We have to find the exact value of the…

Q: 3. If 0° < 0 < 90° and tan 0 = , find csc 0 using trigonometric identities. Explain which identities…

A: Given, tanθ=724 and 0°&lt;θ&lt;90° which means angle lies in first quadrant. To find: cscθ=?…

Q: Sketch the 2 "special" triangles that help you to determine EXACT values, then determine the xact…

A: We can use pythagoras theorem For right angle triangle here .

Q: Indicate the two quadrants θ could terminate in given the value of the trigonometric function.…

A: The given value of trigonometric function    tanθ=34We write the .. quadrants where all…

Q: Determine the exact values of the six trigonometric functions of the angle θ.  (√3, -2) sin(θ)=…

A: Consider the given figure and the angle is given in the anticlockwise direction.  In the fourth…

Q: Find all angles between 0 and 2π so that sin(0) 2 Give your answers in a list as exact values…

A:

Q: To find sin cos-), we let 0 = cos O and complete the right triangle below. We find that sin cos-O)…

A:

Q: The CAST Rule describes the sign of the three primary trigonometric ratios as the angle varies from…

A: To describe the behaviour of y=sinx, y=cosx and y=tanx by the help of CAST rule

Q: Find the exact value of each trigonometric function for the given angle 0. 120° sin 0 sin 0 %3D

A: Explained below

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.