The terminal side of angle α is in quadrant III. What sign, positive or negative, will the sine, cosine, and tangent values for angle α have and why?

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.

Q: Given that sine =-1/2 and e lies in quadrant IV, find the following value.

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Q: Consider a clock with an hour hand and a minute hand. What is the measure of the angle the minute…

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Q: Find the exact values of the sine, cosine, and tangent of the angle 15°

A: Find the exact values of the sine, cosine, and tangent of the angle 15°

Q: If sin e= and e terminates in Quadrant II, what is the value of, csc e• cot e?

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Q: In a circle of radius 8 miles, the length of the arc that subtends a central angle of 1 radians is…

A: It is known that length of an arc substending an angle θ radians is given by l = rθwhere r is the…

Q: If the sine of an angle is .75, what is the measure of the angle to the nearest degree?

A: sinƟ = 0.75Ɵ = sin-1(0.75) = 48.6° = 49°tan-1(0.05) = 2.86° = 3°

Q: If sin θ < 0 and cos θ < 0, name the quadrant in which angle θ lies.

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Q: For an acute angle θ, the equation sin(θ) = cos(84) is true. What is the value of θ?

A: The equation is given by sinθ = cos84° Where θ is an acute angle To evaluate : The value of θ

Q: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 4 radians is…

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Q: Find the angle 0, in radians, in the given right triangle. The length of the side adjacent to 0 is…

A: Given, The triangle is right angled triangle, so formula of Tan theta can be used.

Q: Give all six trig function values for angle 0 if tan 0 = - and 0 is in quadrant 4.

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Q: Find the angle to the nearest tenth of a degree in quadrant 1 whose Sine is .2345

A: Let the angle is = x degree Given that

Q: Name the quadrant in which the angle lies: tan 0 < 0, cos < 0

A: Given that,  tan(θ)&lt;0 and cos(θ)&lt;0 Then to find where the angle θ lies. We know that,  In…

Q: Given that cos A =-9/41 and that angle theta terminates in quadrant II, then what is the value of…

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Q: Given that sin(θ)=3√10/10, and θ is in Quadrant II, what is sin(2θ)?

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Q: Write cos ⁡ ( θ ) in terms of sin ⁡ ( θ ) if θ is an angle in quadrant II.

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Q: Use the law of sines to find the measure of the indicated angle

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Q: If  cos(?) = − 1/2  and ? is in Quadrant III, find  tan(?) cot(?) + csc(?).

A: Concept : the angle for Quadrant III is in between 180 and 270  given cos(x) = -0.5 it is given x is…

Q: Suppose angle 0, in radians, is in quadrant 3 of the unit circle. if sin(0)=-0.45, what are the…

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Q: Without using a calculator, compute the sine, cosine, and tangent of 330° by using the reference…

A: Given, We have to find sin330° , cos330°  and tan330°

Q: If drawn in standard position, which quadrant? an angle that measures 5 radians will be located in

A: We will find in which quadrant the angle is located as following.

Q: Find the remaining trig ratios if secant theta=-3 and theta lies In quadrant 3.

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Q: Evaluate the sine, cosine, and tangent of the angle. 180°

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Q: Given that sin 0 and that angle 0 terminates in quadrant IV, then what is 65 the value of tan 0?

A: topic - trigonometric ratios

Q: State the quadrant number in which the terminal arm of θ is located if: (a) sin θ is positive and…

A: The behaviour of θ in all 4 quadrants is given as follows- 1st quadrant - sinθ,cosθ,tanθ are…

Q: If sect = and the terminal point of t is in Quadrant IV ,then the value of csct is b) c) d) =

A: sec t = 1/cos t  sin t = 1-cos2t csc t = 1/sint

Q: In which quadrant is the reference angle unnecessary in finding the values of the trigonometric…

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Q: Find the angle θ, in radians, in the given right triangle. The length of the side adjacent to θ is…

A: Given, the side adjacent to θ = 19 the length of the side opposite θ = 15

Q: If tan 0 = 4 and the terminal side of 0 lies in quadrant III, find sec 0. %3D

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Q: Identify the quadrant in which the terminal side of the angle must lie under the following…

A: Use quadrant to solve this trigonometric problem

Q: Given that cot(θ) =-1/2 and θ is in Quadrant 2, what is sin(θ)?

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Q: Find the quadrant where tan 405° lies, its reference angle, and also the exact value.

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Q: Given that sinx - where x is an obtuse angle (In quadrant 2) , find the value of cosx. 13' 1b. find…

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Q: Identify the quadrant in which the terminal side of the angle must lie under the following…

A: Given : sinθ &gt; 0 and cotθ &lt; 0

Q: if possible, find an angle with a terminal arm in each quadrant that has a reference angle of pi/5,…

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Q: The angle A is found in quadrant IV, such that sin A=-4/7. Determine the exact value of sec A.

A: The angle A is found in quadrant IV, such that sin A=-47.To determine the exact value of sec A.

Q: If the sin of an angle is 0.1699, find the angle in degrees. Round your answer to the nearest whole…

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Q: If sin theta=4/5 and theta is in quadrant 1, what is the value of tan theta?

A: Given  sinθ=45 Also θ lies in first quadrant.

Q: Angle θ is in Quadrant II, and sin θ = 45. What is the value of cos θ?

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Q: Find the smallest positive angle θ in the third quadrant for which tan(θ) = 1. θ =_______°

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Q: if tanA=24/7 and sinB=20/29 and angles A and B are in Quadrant 1, find the value of tan(A-B).

A: See attached file for a step by step explanation.

Q: For an acute angle θ, the equation sin θ = cos(52) is true. What is the value of θ

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Q: If the terminal side of angle t goes through the point (-. on the unit circle, then what is sin(t)?…

A: We will solve the problem

Q: Given that csc(0) = ; and 0 is in Quadrant II, find the exact value of sin(20).

A: Given data is : cosecθ=52, θ is in quadrant II Find the exact value of sin2θ

Q: Given that the point (126, -32) is on the terminal side of an angle, θ, find the exact value of the…

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Q: Given that sin ? = -4/5 and ? lies in quadrant IV, find the exact value of cos(?/2)

A: We have to find the angle

Q: If cos(?) = − 5/9 and ? is in Quadrant III, find tan(?) cot(?) + csc(?).

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Q: Given that cos ( θ ) = 3 square root 10 / 10, and θ is in quadrant IV, what is sin ( θ ) ?

A: Given :        cos(θ) = 31010 and θ is in quadrant IV   To find :     sinθ

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.