sin theta is 6/7, theta is in quadrant II, find the exact value of cos: theta, sin (theta+pi/6), cos (theta-pi/3), tan(theta+pi/4)

Q: As theta increases from 0 degree to 90 degree , the value of cos theta tends toward which of the…

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Q: Find sin ), cos(), and tan() COS from the given information. 2 sec(x) = 4 270° < x < 360° %3D sin)…

A: We have to find the trignometric ratios given.

Q: Find an angle 0 with 0 degrees < 0 < 360 degrees that has the same: (sin) as 40 degrees: 0 = (cos)…

A: Given problem is : Find an angle 0 with 0 degrees &lt; 0 &lt; 360 degrees that has the same: (sin)…

Q: Find the exact value of cos theta, given that sin theta = 4/5 and theta is in quadrant I.…

A: We have the trigonometric identity sin2x+cos2x=1

Q: Find the exact value of sin 20, cos 20, and tan 20 using the double-angle formulas. cos 0 = 5 13 S…

A: Given cosθ=513We know that sin2θ+cos2θ=1sin2θ=1-5132        =1-25169        =144169Sinθ=-1213 (As…

Q: 7. Given that tan (A) = - and angle A is in 3rd quadrant and cos(B) = - and 13 angle B is in 2th…

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Q: Suppose that sin α = 12/13 for a quadrant II angle α and sin β = 3/5 for a quadrant I angle β. Find…

A: Given,  sin α = 12/13                [angle α is in a quadrant II]  sin β = 3/5…

Q: In a right triangle, the acute angles have the relationship sin(2x +4) = cos(46). What is the value…

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Q: Find the exact values of sin 20, cos 20, tan 20 and the quadrant in which 20 lies. tan 0=,0 is in…

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Q: Given that theta is an angle with a terminal side in the second quadrant and such that…

A: Given,         sinθ=45 , θ is an angle with a terminal side in the second quadrant.

Q: if sin theta = 2/7, and cos theta -4/7, what is cot theta equal to?

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Q: If cos(0) : 2 and 0 is in the 2nd quadrant, find sin(0) 7 sin(8) =

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Q: Use the given information to find the exact value of the expression. cos θ = 15/17, θ lies in…

A: Answer(a)

Q: Given that tan(theta)=-5/12 and theta is quadrant 2, find the exact value of the following a.)…

A: We have to find the angle

Q: 8. and If sin a =- 17 cos ß = for a second-quadrant angle a and a third-quadrant angle ß, find the…

A: solution is given below..

Q: Suppose cos 2 A , and 2A is an angle in the Second Quadrant. Then cos A Give the EXACT value.

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Q: If cos(0) = and 0 is in the 1st quadrant, find the exact value for sin(0). sin(0) = 56

A: To find the exact value of sin(theta)

Q: sin theta = 3/5 and tan theta = -3/4, find sec theta?

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Q: = For positive acute angles A and B, it is known that tan A = 24 and cos B Find the value of sin(A -…

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Q: What is the value of sin 30+ cos 30

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Q: If csc(alpha)=3, where 0<alpha<pi/2, and beta is a Quadrant II angle with tan(beta)=-7, find…

A: Given,  cosec(alpha) = 3  ,   0&lt;alpha&lt;π/2 tan(beta) = -7   ,   π/2&lt;alpha&lt;π cos(alpha +…

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 smallest positive angle such that sin 2a = cos 3a %3|

A: As per our guidelines we can solve only one question. Rest question can be reposted.  Here in…

Q: Suppose, for a given angle 0, we know that tan(0) = -5/3 and cos(0) > O. Find the exact value of…

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Q: For an acute angle 0, the equation sin(8)=cos(6) is true. What is the value of 0?

A: solution  given below..

Q: sin θ = √11/6 and cos θ < 0, find the value of the other five trigonometric functions.

A: Given query is to find the values of trigonometric functions when sin function is given.

Q: If sin O > 0 and tan O < 0, what is the sign of the value of sec O?

A: To find the sign value of secθ Given sinθ&gt;0 and tanθ&lt;0 Given below is the quadrant system of…

Q: Find cos (2 θ) , if sin θ=15/17 and θ lies in quadrant I

A: sin² (x) + cos² (x) = 1 cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1

Q: If tant=−43 and 3 π2 <t< 2 π, find sin t, cos t, sec t, csc t, cot t. enter the exact answers.

A: This question can be solved using the concepts of trigonometry.

Q: If cos 0 = and tan 0 = %, 10 what is sin 0?

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: If tan alpha = 3 and alpha is acute, find the exact value of sin 2alpha

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Q: If cos(0) = and 0 is in the 3rd quadrant, find the exact value for sin(0). sin(0) = %3D 23

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Q: If tan β = 4/3 and β is in the third quadrant, find exact values for sin β and cos β

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Q: Given cos⁡(θ)=3/5 and tan⁡(θ)<0 what is the value of sin⁡(θ)?

A: Explanation of the answer is as follows

Q: Given that sin u = 1 /3 and cos v = −3/5 and that u and v are both  in the second quadrant.  Find…

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Q: If 180 is less than or equal to theta and greater than or equal to 270 degrees and cos (theta)=-2/9…

A: Here given as

Q: (금) 7 Suppose that is an angle in quadrant 3 and that cos y = Compute the exact value of sin 25 sin…

A: Given, cosγ = -725  γ2 is an angle in quadrant 3  We have to find the exact value of sinγ2.

Q: that sin (x) = 4/5 & pi/2 < x < pi, find the value of sin (2x)

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Q: Suppose that a and B are in the first quadrant, sin(a) = and sin(B) = What is sin(a + B)?

A: The solution is :

Q: If theta = arctan(1) and 180deg < theta < 360deg, what is cos theta?

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Q: () if both angles are in the same quadrant. Given sec(o) = 2, determine cos %3D 2 2

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Q: If cos 0 V2 and the reference angle of 0 2 is 45°, find both angles in degrees from 0° < 0 < 360°…

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Q: Given an acute angle cosx=2/5, use half-angle identity to find the exact value of cos(x/2).

A: Given problem:- Given an acute angle cosx=2/5, use half-angle identity to find the exact value of…

Q: If csc(alpha)=3, where 0<alpha<pi/2, and  beta is a Quadrant II angle with tan(beta)=-7, find…

A: Given that, cscα=3, 0&lt;α&lt;π2, tanβ=-7. Calculate the value of tanα-β.   Here we use the…

Q: Given that sin(theta)=3/4 and theta is in quadrant 3, find the exact value of the following a.)…

A: To find the value of the trigonometric ratios

Q: Find Sin(2x), Cos(2x), and Tan(2x), using the given information. sin(x) = −5/13,   x in Quadrant…

A: Given: sin(x) = −5/13,  x in Quadrant III In Quadrant III tan and cot are positive and all other…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8,   x in Quadrant IV

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Q: If cos(θ)=−16cos(θ)=-16 and θθ is in the 3rd quadrant, find sin(θ)sin(θ)

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Q: 8. Given that sin 0 = , and the angle 0 is in the first quadrant, find the value for cos 0.

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Q: Suppose that sin α = 12/13 for a quadrant II angle α and sin β = 3/5 for a quadrant I angle β. Find…

A: Since it is given that sin α=1213  for quadrant II angle α and sin (β)=35for a quadrant I angle…

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.