The angle of depression from the top of a cliff to an observer in the ground who is 300 m away is given by 0 where sin 0 = (). How high is the cliff? Give your answer in exact value in m.

Q: Use the quotient and reciprocal identities to find sin 0 exactly given: 8. sec 0 | 3 V55 tan 0 = 3…

A: Given- secθ=-83 and tanθ=-553 To Find-  The value of sinθ using quotient and reciprocal identity.

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

A: Given that  α=arcsin-23⇒sinα=-23secβ=54⇒1cosβ=54⇒cosβ=45,tanβ&lt;0

Q: act value of the trigonometric function given that sin(u) = -3/5, and cos(v) =-8/1

A: It is given that;  sinu=-35 and cosv=-817 we have to find the exact value of sin(u+v)=?

Q: If   sinα=0.046   and   cosβ=0.702  with both angles’ terminal rays in Quadrant-I, find the values…

A: We can solve the problem by obtaining the required value from the given data.

Q: What ratio is equivalent to sin∠Asin⁡∠A?

A: We have to find the ratio which is equivalent to sinA.

Q: If the sine ratio is given, then how can sin : be determined?

A: We can calculate sinx/2 by half angle formula

Q: The sine of an angle is equal to 0.362. What is the value of tangent for this angle? Express your…

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Q: Given the angle 0 shown in this right triangle: 2 compute the exact value of each quantity: sin(0)…

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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: According to Snell's law, the angle of refraction θ2 of a light ray traveling in a medium of index…

A:

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

A: If both the angles x and y are acute then    sin x=cos y⇒sin x =sin 90°-y⇒x=90°-y⇒x+y=90°For an…

Q: 11. The terminal side of an angle 0 intersects the unit circle at point (2. – V2). What is the exact…

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Q: In a right triangle, one acute angle measures X°. If cos(x)= 3/4, what is the sin(90-x)?

A: In a right triangle,  Cos(x) = 3/4 We have to find sin(90-x)

Q: Find the value of the trig function indicated. V13 Find sin 0 if sec 0 3

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Q: 4

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Q: IfØ is the angle between a line through the origin and the positive x-axis, the area, in cm?, of…

A: Given that: A=3θ+4sinθ+12sin2θ Therefore, rate of change of area charging is as following: dAdt.…

Q: the exact aue of the expression sin sin (a - B) = | (Simplify your answer. Type an exact answ

A:

Q: For the acute angle 0 with cot 0 1, find sin 0 = cos 0 = tan 0 sec 0 = Csc 0

A:

Q: Given that sin(0)>0 and tan(0)>0, in which quadrant does 0 lie?

A: We know that According to ASTC formulaIn I quadrant : All trignometric ratios are positive.In II…

Q: Find the angle rounded to the nearest tenth of a degree given the trigonometric ratio sin A 0.4166…

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Q: What is the ratio of sine of X?

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Q: Find the exact value of sin ab sin (a) sin (4 (7) Show your work and explain, in your own words, how…

A: Answer is below

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: GIven that 16cotA = 12  Find the value of( (sinA+cosA)/(sinA-cosA)

A:

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: Find the exact value. Given that sin 0 = - 4 with 0 in quadrant IV, find tan 20. %3D O - 24 24

A: Since, we have been given that sin θ = -45-(i) with θ in IV quadrant.Our Aim is to find tan 2θ=?

Q: What is the exact value of tan(7pi / 8) if you use the tangent half-angle formulas?

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Q: Given that sin find the exact expression for the indicated quantity. Зл sin 8

A: Given that : sinπ8=2-22 We need to find the exact value of sin3π8. sin3π8=sinπ2-π8…

Q: Find the values of the trigonometric functions of 0 from the information given. tan 0 = -5, sin 0 >…

A: Given,          tanθ=-5 ,   sinθ&gt;0

Q: If the sine ratio is given, then how can sin be determined?

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Q: If sin(θ) = 0.788, then what is the approximate value of csc(θ)?

A:

Q: Find the exact value of Sin 20 given that 28 and e is in quadrant I. CosO =- 53 Sin 20=

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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: The terminal side of angle 0 intersects the unit circle in the first quadrant at ( 16 ,y). What are…

A: Trigonometry Question

Q: Given: tan θ=12/5 What is the trigonometric ratio of sin θ?

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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: 1. If for some particular angle 0, sin 0 0, in what quadrant must 0 lie? What is the sign of tan 0…

A: ALL-SINE-TAN-COS RULE:

Q: What is the exact value of tan if sin(v) = -, where cot(v) >0? 1 A 2 1 B -2 D 3

A:

Q: Find the exact value. Given that sin 0 = - 4 with 0 in quadrant IV, find tan 20. 24

A: Given that sinθ=-45. Obtain the value of tan 2θ as follows.

Q: 4) Determine the exact value of each trigonometric ratio. a) sin 5t/6 b) sec -Зл/4

A: We will use basic properties of trigonometric functions and find the values as follows

Q: c) y = sin-1 d) y = V2 = arccos

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Q: Find the values of the other trigonometric functions of 0 given that sin 0 2

A: Explanation of the answer is as follows

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

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

A: Draw the unit circle using the given information For the unit circle the radius r=1

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

A: Trigonometric functions on the unit circle: If a point (x, y) is on the terminal side of an angle θ,…

Q: The sine of an angle is equal to 0.75. What is the value of tangent for this angle? Express your…

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Q: I. Differentiate the given trigonometric functions: t = sin 50 tan 50

A: Given function is: t=sin 5θ tan 5θ We have to find dtdθ.

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

A: