An angle in standard position in a coordinate plane has a measure in radians of θ, and its terminal side is in Quadrant IV.  The value of cos θ is 39/89 What is the value of sin θ? What is the value of tan θ?

Q: Determine an exact value of Sin Ø if cos Ø : and Ø is an angle in quadrant IV 1/2

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Q: The angle A is found in quadrant 3, such that sin A = - Determine the exact valu of sec A (Decimal…

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Q: n a circle of radius 8 miles, the length of the arc that si tends a central angle of 1 radians is…

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

A: we have to find sine, cosine and tangent of 7π6

Q: A circle has a radius of 19 cm. Find the radian measure of the central angle 0 that intercepts an…

A: To find the measure of Central angle

Q: Suppose an angle in standard position has its terminal side in Quadrant III. If sin ? = −1/3, what…

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Q: Find the exact value of cos?, given that the tan? = −2/3 and angle θ is in quadrant II

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Q: Compute the sine, cosine, and tangent of 300° by using the reference angle.

A: Reference angles - Reference angles are those angles with the help of which we can move in four…

Q: What are the values of cos a and tan a, if a is the measure of an acute angle in a right triangle…

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

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Q: The measure of angle BAC can be calculated using the What is the measure of angle BAC? Round to the…

A: We know that if sin-1y = x, then y = sinx

Q: Find the radian measure of the angle with the given degree measure. Round your answer to three…

A: Solution: Convert from degree to radian using the ratio π/180 So -140° multiply by π/180

Q: Find the values of the six trigonometric functions for the angle ?. Assume a = 3, b = 4, c = 5. sin…

A: Given: a=3,  b=4  and  c=5sinθ=?cosθ=?tanθ=?cscθ=?secθ=?cotθ=?

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

A: Topic - trigonometry

Q: Find the exact values of the trigonometric functions for the acute angle ?. sin ? =  5 13  sin ? =…

A: What i understood from the provided question is sin θ =513; as it is not correctly mention in your…

Q: Given a function value of an acute angle, find the other five trigonometric function values. sin 0 =…

A: Given ,   Sinθ = 5 / 13 We know that  Sinθ = altitude / hypotenuse So ,  Altitude = 5 Hypotenuse =…

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: Sketch a right triangle corresponding to the trigonometric function of the acute angle ?. Then find…

A: Given, sin?=1213

Q: A truss for the roof of a house is constructed from two identical right triangles. Each has a base…

A: use trignometric ratio

Q: What are the values of cos a and tan a, if a is the measure of an acute angle in a right triangle…

A: Given that α is acute angle, that means 0<α<π2.Hence, all the trigonometric ratios are…

Q: What are the values of cos a and tan a, if a is the measure of an acute angle in triangle and sin a…

A: See the details solution in below

Q: In the triangle below, if cos B then find sin B and tan B. /360 C A [not drawn to scale] sin B tan B…

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Q: For an acute angle 0, the equation sin(17) = Cos (0) is true. What is the Value of )? show or…

A: Given- sin17=cosθ To Find- The value of θ, if θ is the acute angle. Identity Used- sin90-θ=cosθ

Q: Find the exact trigonometric ratios for the angle r whose radian measure is given. 57 sin(r) =…

A: Angle is given= 5π/2

Q: Find the exact values of sin θ and cos θ if the terminal side of angle θ intersects the unit circle…

A: Here x and y satisfy x^2+ y^2 =1

Q: Sketch a right triangle corresponding to the trigonometric function of the acute angle ?. Then find…

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Q: Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the…

A: Using half angle formulas we have to determine the exact values ofsine,cosine and tangent of the…

Q: Find the exact value of tan 0, given that the sin 0 and angle 3 quadrant IV.

A: Given that, sinθ=-53 We have to find the value of θ and θ is in 4th quadrant.

Q: Wilfrid drew a special triangle in Quadrant 3 and determined that tan(180° +0) =1. (a) What is the…

A: We have to find the angle .

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

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Q: It is a trigonometric ratio that shows the relationship between the opposite and adjacent side of an…

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Q: An angle in standard position in a coordinate plane has a measure in radians of 0, and its terminal…

A: The given question is solved below.

Q: What reference angle should be used for an angle of 300° in standard position? kM) b) What is the…

A: a). b).

Q: If the terminal side of angle A goes through the point (- 25) 24 7 on the unit circle, then what is…

A: topic - trigonometry sin A of unit circle through point A is the y coordinate of point

Q: An angle in standard position in a coordinate plane has a measure in radians of 6, and Its terminal…

A: We use the identity sin2θ+cos2θ=1

Q: In a right triangle with acute angles of measures a and ß, cos B = %. Find the following values in…

A: Given: cosβ=ac

Q: Find the exact values of the sine, cosine, and tangent of the angle. 12 3 4 sin cos 12 tan 12

A: The answer is found in step-2

Q: Consider the angle 4 radians. Determine the quadrant in which the terminal side of the angle is…

A: Consider the angle 4 radians. Determine the quadrant in which the terminal side of the angle is…

Q: Find the length of the arc of a circle of diameter 1010 meters subtended by a central angle of π4π4…

A: Solution ) diameter - 1010 m , angle = π/4 Radius =  1010/2           = 505 m length of arc of…

Q: For an acute angle 00, the equation sin(0)=cos(6)sin⁡(0)=cos⁡(6) is true. What is the value of 00?…

A: Given:       sinθ=cos6  We know that       sin90°-θ=cosθ

Q: An angle 0 in standard position has its terminal ray in Quadrant II, with sin 0 What is the value of…

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

A: The figure is and solution is shown in step. 2

Q: The angle of elevation to the top of a mountain in Muscat is found to be 45° from the ground at a…

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Q: If sin a = 17 and cos B =- for a second-quadrant angle a and a third-quadrant angle B, find the 13…

A: Given :  sinα=817 cosβ=-513 We have to find out the value of sinα+β.  We know that…

Q: The angle of depression from the top of a cliff to an observer in the ground who is 300 m away is…

A: Height=315 m

Q: A right triangle has side lengths a, b, and c as shown below. Use these lengths to find tan x, cos…

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Q: Use the information given about the angle 0, 0s00 (a) sin (20) (b) cos (20) (C) sin 2 (d) cos

A: Given that secθ=9, 0≤θ≤2π,  sinθ>0By using the given information finda)sin2θb)cos2θc)sinθ2d)cosθ2…

Q: An angle in standard position in a coordinate plane has a measure in radians of 0, and its terminal…

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Q: In what quadrant is angle B located, if sin B 0 ?

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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.