The terminal side of angle t intersects the unit circle in the fourth quadrant at the point (5/13, y). What is the value of sin(t)?

Q: Given that a = arcsin (-3), sec ß = and tan B < 0, find the exact value of sin(a + B). %3D

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Q: Consider the gridlines in this plot to be 5 units apart.   sin(θ) = cos(ϕ) = tan(θ) = tan(ϕ) =

A: We name the triangle ABC.

Q: In a right triangle, the longer leg is exactly v3 times the length of the shorter leg. Use the…

A: Given,  Longer leg is exactly 3 times the length of the shorter leg.  Using the inverse tangent…

Q: f cot (0) = and is an acute angle in a right triangle, find sin(0). 3

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Q: Suppose that y is an angle with sin y = 4/7 and y is not in the first quadrant. What is the exact…

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Q: Let , y) be the point on the unit circle corresponding to an angle 0 in the second quadrant. What is…

A: I am attaching image so that you understand each and every step.

Q: Use the given point on the terminal side of angle 0 to find the value of the trigonometric function…

A: We have to find the angle using trigonometric identities.

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

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Q: Find the exact values of the trigonometric functions for the acute angle u.

A: sinθ=35

Q: Sketch a triangle that has acute angle 0. 40 cos(0) %3D 41

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Q: Determine the exact values of sin 0 and cos 0 given that the terminal side of angle 0 intersects the…

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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: The terminal side of angle 0 intersects the unit circle in the first quadrant at x = cos 0? 20 What…

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Q: . Show that for a small angle 0, measured in radians, sin 30(1– cos 20) z 60³ .

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Q: Find tan 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. 8.

A: We can use Pythagoras theorem and the equation, Tan x = opposite side/ adjacent side.

Q: Use the angle in the unit circle to find the value of the three trigonometric functions below   sin…

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Q: Find the area of the part of the circle r = 8 sin 0 + cos 0 in the fourth quadrant . Answer :

A:

Q: Use the angle in the unit circle to find the value of the three trigonometric functions below. sin…

A: sint =oppHypHyp=(22)2+(22)2=24+24=44=1

Q: Find the area of the part of the circle r = 9 sin 0 + cos 0 in the fourth quadrant .

A: Area = 12∫abr2dθ In the fourth quadrant, θ is varying from 3π2 to 2π Hence, a=3π2 and b=2π

Q: 2. The terminal side of an angle in standard position intersects the unit circle at point (+,-).…

A: Given point is 12,-32. We know that if the terminal side of an angle θ in standard position…

Q: For an acute angle 0, the equation sin(8)=cos(6) is true. What is the value of 0?

A: solution  given below..

Q: Find sec 0, tan , and sin0, where 0 is the angle shown in the figure. Give exact values, not decimal…

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Q: Find cos 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. 4

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Q: Find sin 0, where 0 is the angle shown.

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Q: Find the value of the indicated trigonometric ratio. sin a V281 5 16 sin

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Q: Consider this right triangle. F E Select all trigonometric functions that are equivalent to the…

A: To select all trigonometric function that are equivalent to the ratio xy

Q: Here is a right triangle. Explain why the equation cos(A) sin(C) is valid. A

A: Given that:   A right angle triangle, Angle B =90 degree

Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. 11

A:

Q: If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, andr is the…

A: We have to find the trigonometric ratios, reference angles, values of the trigonometric functions…

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: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation.

A: Given,           A triangle is shown below :

Q: Determine the value of tan 0 given that the terminal side of angle 0 intersects the unit circle in…

A:

Q: From the information given, find the quadrant in which the terminal point determined by t lies.…

A: topic- trigonometric ratios quadrant sin(t ) tan(t) l + + ll + - lll - + lV - -

Q: 4. Using the unit circle, calculate the value of tan(). -1 O 1

A: We have to calculate tan5π4 using a unit circle. Let us draw a circle of unit radius. The equation…

Q: The terminal side of angle θ intersects the unit circle in the first quadrant at (9/25, y). What are…

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Q: Find the area of the part of the circle r = 2 sin 0 + cos 0 in the fourth quadrant. Answer :

A: Given circle  r=2sinθ+cosθ

Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation 13

A: sin theta=opposite/hypotenuse

Q: Find tan(0) + sin(0) for the angle 0 shown. 7

A: Find tanθ+sinθ for the angle θ .

Q: The terminal side of angle θ intersects the unit circle in the first quadrant at x=11/13. What is…

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Q: For an angle <0 < T, f ind 0 for sin( ) + csc( ) + cos ( ) = 3

A: It is trigonometric value.

Q: O is an angle in standard position whose terminal arm is in quadrant III and Sin 0 3 Find COs O V13

A: Solve the above problem.

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

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Q: Use the given triangle to find the exact value of sine, cosine, and tangent of sin a cos tan 4 3. 비2

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Q: The terminal side of angle θ intersects the unit circle in the first quadrant at (16/19,y). What are…

A: Since, it is a unit circle, the radius is 1. We will determine y in the first quadrant and then find…

Q: Find tan(0) + sin(0) for the angle 0 shown. 3.

A: Given figure, We find tan(θ) + sin(θ)

Q: Let ZD be an acute angle such that cos D = 0.33 . Use a calculator to approximate the measure of ZD…

A: For a angle ∠D, if given cos D=a⇒D=cos-1a, where -1≤a≤1

Q: From the information given, find the quadrant in which the terminal point determined byt lies. Input…

A: (a).    The sine function is negative in third and forth quadrant.   The cosine function is negative…

Q: For an acute angle 0, given the equation sin(0) = cos( 38 ) What is the value of 0?

A: sin(90-θ) = cosθ

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.