According to SOH-CAH-TOA, we have sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse and tan θ = opposite/adjacent. Suppose we know the value of θ and the hypotenuse. Which trigonometric function(s) of θ could you use to find the lengths of the two missing sides (or legs)?  Explain and justify your reasoning.

Q: the terminal side of angle θ in standard position passes through the point (−24‚11), then the value…

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Q: If the terminal side of angle A goes through the following point on the unit circle, then what is…

A: Given: The terminal side of angle A goes through the point -2425,725.

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Q: In terms of the cosine of a positive acute angle, what is the expression for cos(19pie/18)?

A: Cos 19π/18                     = cos 19*180/18                    = cos 190° cos190° = -0.98481cos…

Q: ne, and tangent of the angle without using a calculator. 177 sin(e) = cos(e) = tan(e) =

A: Topic:- trigonometry ratios

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Q: What is an equivalent expression of Sin 21 in terms of the reference an (related acute angle)? a)…

A: To write equivalent expression for sin5π6

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A: To show:  It is impossible for sec theta =  1/2

Q: Find the exact value by using a half-angle identity. sin 75° ① 专业 這次難 這次的

A: We will solve the required.

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Q: 1. Write a list of angle degree measurements between 0° and 180° whose sin value can most easily be…

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Q: reference

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Q: Given that cot(x)=-2 and sin(x)=square root 5 over 5, what is cos,tan,csc,sec?

A: To determine the value of trigonometric ratios.

Q: To further justify the Cofunction Theorem, use your calculator to find a value for the givenpair of…

A: The functions are sin 13° and cos 77°. The angles are complimentary angles because 13+77=90.

Q: To explain why, for any acute angle u, it is impossible for cos theta =  3.

A: we know that range of cosθ is -1 to 1 so, value of cosθ can't be equal to 3

Q: If I told you that the measure of a radian differs depending on the length of the radius of the…

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Q: Use the trigonometric function values of the quadrantal angles to evaluate the given expression.…

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Q: If tan(?)=−9/40 and tan 12/35 (?)=for a second-quadrant angle and a third-quadrant angle, find the…

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Q: Without using a calculator, compute the sine, cosine, and tangent of 5π/4 by using the reference…

A: Topic- Trigonometry

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A: Given the query is to find the value of indicated angles.

Q: Use the definitions of the trigonometric ratios to find the value of sin30°sin⁡30°, cos30°cos⁡30°,…

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Q: Find the exact values of the six trigonometric ratios of the angle θ in the triangle.   sin(θ) =…

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Q: Find the exact values of the six trigonometric ratios of the angle 0 in the triangle. 2 3

A: we know that in right angle triangle hypotenuse2=base2+altitude2                                 ..1…

Q: Without using a calculator, compute the sine and cosine of 210∘210∘ by using the reference angle.…

A: Angle θ=210°sin210° and cos210°

Q: C. B a.

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

A: It is given that cosecθ=-2.54.

Q: Use a calculator to find the value of the trigonometric function. cot - 3.

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Q: A student wants to use a calculator to find the value of cot 25°. However, instead of entering 1 tan…

A: A student wants to use a calculator to find the value of cot 25°. However, instead ofentering 1tan…

Q: Use the trigonometric function values of the quadrantal angles to evaluate. 9 sin(180°) + 4 csc(90°)…

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Q: In right triangle ABC, mzC = 90° and AC + BC. Which trigonometric ratio is equivalent to sin B? %3!

A: We know that, for any angle x, sin(90-x)=cosx. Also the sum of the angles of a triangle is 180°.

Q: The terminal side of angle θ intersects the unit circle in the first quadrant at (13/19,y). What are…

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Q: Describe the conditions that guide when it is appropriate to use the Sine Law, the Cosine Law, the…

A: Given data condtions  for using the sine rule,    the cosine rule  ,the sum of the interior Angle…

Q: 16.  Given that tan  θ = - 4/3 and θ is an acute angle, find the other 5 trigonometric function…

A: Consider the following value: tanθ=-43 θ is an acute angle. Hence, θ lies in first quadrant. Values…

Q: With reference to the triangle in Figure 3-21, the length of side AC and the size of the angle at…

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Q: To further justify the Cofunction Theorem, use your calculator to find a value for the givenpair of…

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Q: State the exact value of each trigonometric ratio for the given angle in the right triangle. Figure…

A: 1)  FG2 = EF2 - EG2  FG2 = 62 - 32 = 27  FG  =  3√3  FG  =  5.196 units    Thus,  sin(F)  =  EG ÷ EF…

Q: To further justify the Cofunction Theorem, use your calculator to find a value for the givenpair of…

A: Given trigonometric functions, sec6.7°,cosec83.3°

Q: point

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Q: According to SOH-CAH-TOA, we have sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse and tan θ…

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Q: Find the exact values of the six trigonometric ratios of the angle e in the triangle.

A: Given: To find: sinθ=?cosθ=?tanθ=?cosecθ=?secθ=?cotθ=?

Q: he following statements is true for an angle of ard position? Only the tangent ratio would be…

A: Topic:- trigonometry angle

Q: Without using a calculator, compute the sine, cosine, and tangent of 57 by using the reference…

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Q: The length of an arc in a circle of radius r, subtended by an angle theta is given by s=rtheta Where…

A: Let the letter s symbolize the length of an arc, which is called arc length.An arc "subtends" an…

Q: To further justify the Cofunction Theorem, use your calculator to find a value for the givenpair of…

A: to find the given angles