The angle 0, is located in Quadrant III, and tan (61) = 15 cos (6,) = cot (61) = csc (61) = sec (6,) = sin (41) = 8.

Q: Use the given point on the terminal side of angle 0 to find indicated. 15) sin 0 (-V13, 6)

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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: Find the remaining trigonometric ratios of theta based on the given information. sec = -3 and sin is…

A: The given trigonometric ratio is secθ=-3 and sinθ is positive. secθ=3-1=rx By using the Pythagoras…

Q: Find tan 8, csc 0, and cos 0, where is the angle shown in the Give exact values, not decimal…

A: Given query is to find indicated trigonometric functions.

Q: Find the exact value of the half-angle. 4. sin 0 =-- where se <2T Find sin 이2

A: Given that sin(theta)= -4/5 and find sin(theta/2). Here 3π/2&lt;=theta&lt;=2π( here theta in the…

Q: Given that (1-cos(Theta))/2=0.7, find sin^2(THETA/2)

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Q: The terminal side of an angle 0 in standard position intersects the unit circle at point (,-). What…

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Q: 8. Use the given information to find sin 20, cos 20, tan 20. sin =.0 < 0 <; %3D

A: Some Trigonometric formula,                             1.   sin2θ+cos2θ=12.   sin2θ = 2sinθcosθ3.…

Q: Let 0 be an angle such that cos(0) Find sin(0) and tan(0). 2

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Q: If sec e + tan e = x, obtain the values of sec 6, tan e and sin 6.

A: Given: sec⁡θ+tan⁡θ=x   ...(1) We know that sec2⁡θ-tan2⁡θ=1 ⇒sec⁡θ-tan⁡θsec⁡θ+tan⁡θ=1…

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

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

Q: Find the value of the angle of tan(sec^-1(3y)) ?

A: sec means hypotenuse / adjacent So let us assume hypotenuse= 3y and adjacent = 1  We draw a right…

Q: Assume that 0≤ θ &lt; π/2, Find sin θ, cos θ, and sec θ if cot θ = 4.

A: As value of sinθ and cosθ revolves around +1 to -1 , they take different values depending on the…

Q: Express as a trigonometric function of one angle. cos 48° cos 22° + sin 48° sin 22°

A: We will use cosAcosB+sinAsinB= cos(A-B) formula  With A= 48 and B= 22

Q: If 0 be a positive acute angle satisfying cos² 0 + cos“ 0 = 1 then the value of tan² 0 + tan“ 0 is

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Q: The angle 0 is in standard position, passing through the point (6, -8). What is the value of sin 0?

A: We have (6,-8)=62+(-8)2=36+64=100=10 So we get the corresponding points in the unit circle as…

Q: Draw a right angled triangle with another angle θ such that sinθ = 5 13. Find tan(θ) from this…

A: Assume that triangle ABC is a right angle triangle and angle B is 90 degree.

Q: If Sin θ 0, then θ lies in which quadrant?

A: Given that, Sin θ &lt; 0 and Cos θ &gt; 0   Since, Sin θ is negative in quadrant III and quadrant IV…

Q: As theta increases from 0 0to 90 0, the value of cos theta tends toward what number?

A: we know that in 0∘ to 90∘, cosine function is decreasing function and it's value is tends towards…

Q: The value of cos x is given. Find sin x and tan x if x lies in the specified interval. 24 COS X= xE…

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Q: Find (sin 0 + cos 0)2 if the point (8, -6) lies on the terminal side of the angle 0 in standard…

A: Given: Point (8, -6) lies on the terminal side of the angle θ

Q: The magnitude of A = p cos 0 a, + pz2 sin Ø a, at point (3, -4, 0) is: %3D

A: To find magnitude of A⇀=ρcosθaρ⇀+ρz2sinφaz⇀   at point (3,-4,0)

Q: If cotx = D. cos x = Z. and x is in quadrant II, then A. sinx || ! B. cos x C. sin a CTLA

A: follow next step

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 0 = x, what is the value of sin(27 – 0) in terms of x?

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Q: xpress tan t in terms of sin t, if the terminal point determined by t is in Quadrant I

A: We are asked to express tant interms of sint

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

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Q: Find the exact value of all six trigonometric functions for secθ= 2 √5 where θ is in Q IV.

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Q: Find all angles θ between 0∘ and 180∘ that satisfy the given equation: sinθ=√2/2

A: Given  equation  sinθ = 22

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

A: Trigonometry Question

Q: and sin 0 = , find cos 20.

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Q: Find the exact value using half-angle formulas. 7 cos (7?/8)

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Q: If tan 0 > 0 and cos 0 < 0, what Quadrant is Point (0) or P(0) located?

A: Given that tanθ&gt;0  and  cosθ&lt;0

Q: Find the exact value of the remaining trigonometric functions of θ. sec θ =-3,  tan θ &gt; 0

A: Given: secθ=-3, tanθ&gt;0 we know that secθ&lt;0 and  tanθ&gt;0 in third quadrant, and in third…

Q: What is the exact value of cos(85°) cos(65°)– sin(85°)sin(65°) ,

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Q: 2. The terminal side of angle 0 in standard position goes through the point (-1,-5). a) sin(0) b)…

A: Recall the following. If the terminal side of the angle θ that passes through the point x, y, then…

Q: Find all the angles [0, 27) that satisfy the equation sin(2x) = tan(x).

A: We know that ,  sin ( 2 x ) = 2sin ( x ) cos ( x )  and tan ( x ) = sin ( x ) / cos ( x )

Q: The value of sin7n from the unit circle is (0,1) '† (1,0) (-1,0) (0,-1)

A: Consider the unit circle given below :

Q: Given that tan (0) = -and sin(0) > 0 , find the exact values of cos(0) and csc(0). %3D

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Q: Find sin 0 + cos 0 + tan 0 if the point (-1,-2) lies on the terminal side of the angle 0 in standard…

A: Given: Point -1,-2 lies on the terminal side of θ, thenr=x2+y2sinθ=yrcosθ=xrtanθ=yx

Q: The ratio for sine is v divided by hypotenuse. adjacent opposite

A: Sine formula

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: if sin 70°=cos x where x is the measure of an acute angle then x =

A: By using trignometric formula we can easily solve this given problem Detailed solution given below

Q: Find the exact values of the sine, cosine, and tangent of the angle. 12 3 -1 sin (- ) 2 2 12 1- 3…

A: Let us consider

Q: Given that sinθ= 3/5 and cos(θ)<0 that , what is the exact value of sec(θ)

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

Q: Ꮎ Use the information given about the angle 0, 0≤0 ≤ 2, to find the exact value sin 2. sin 0 = - √5…

A: Given That : sinθ=-55, 3π2&lt;θ&lt;2π To Find : Exact  value of sinθ2

Q: (), tan (;). 4. Find sin given that sec(0) = 2, where 90° < 0 < 180° COS

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