Use the given information to find the exact value of a. sin2θ​, b. cos2θ​, and c. tan2θ. cos θ =(21)/(29), θ lies in quadrant IV a. sin 2θ​ = ___ (Write an integer or a fraction. Simplify your​ answer.) b. cos 2θ = ____ (Write an integer or a fraction. Simplify your​ answer.) ​ c. tan 2θ = ____ (Write an integer or a fraction. Simplify your​ answer.)

Q: Given: cosA= -4, sin x = - ,e is in the third quadrant, and x is in the fourth quadrant; evaluate…

A: Given:- cosθ= - 4/5 , sin x = - 12/13, θ is in the third quadrant, and x is in the fourth quadrant;…

Q: 2. Use the labels on the triangle to determine the following: а. The ratio for sine of a a b. The…

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Q: 10) Find the missing values in the figure below. sin S A. AD 1.5 cm, DC = 1.5 cm B. AD= 3 cm, DC =…

A: here is the question of triangle  side is given find the other side of triangle  so here we use…

Q: Find the value of each trigonometric ratio. Cos X 50 14 48 Y 24 7 25 24 714 725

A: We know that  cos(x)=basehypotenuse

Q: Use the given information to find the exact value of a. sin 20, b. cos 20, and c. tan 20. 28 O lies…

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Q: Use a calculator to calculate each pair of ratios. Round the decimal to four decimal places. a.) sin…

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Q: Use the given information to find the exact value of the expression. 13) sin a = 24 , a lies in…

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Q: Find the expression identical to the one given. 2 cos? (0/2) - sec? e cot e-1

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Q: Evaluate the expression under the given conditions.  tan(? + ?); cos(?) = − 1/3, ? in Quadrant III,…

A: This question is based on Inverse Trigonometry and Trignometric ratios.

Q: Use the image below to answer the following question. Find the value of sin x and cos y°. What…

A: We can find the answers as below using the given triangle.

Q: If cos7A = sin(A-60) where 7A is an acute angle , Find the value of A

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Q: Find the value of each trigonometric ratio to the nearest ten-thousandth. 7) sin 62° 8) sin 14° 9)…

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Q: Use the given information to express the remaining five trigonometric values of the angle e in terms…

A: Let us consider a right angled triangle ABC making angle θ at point B and right angle at point C,…

Q: Write the value for each trigonometric ratio: 1) tan A 2) cos C 15 34 30 12 16 B 3) sin Z 4) sin C…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the exact values. (a) tan(pie/3)            (b)sin(7pie/6)                (c)sec(5pie/3)

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Q: 40 a lies in quadrant I, and sin(B) = 24 sin(a) = B lies in quadrant II, 25 41

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Q: cot a, if sin a : and cos a < 0 V15 sec a, if cos a = 4 315

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Q: Find the value of each trigonometric ratio to the nearest ten-thousandth. 11) cos Z 12) cos C B 12…

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Q: 8. Which of the following is equal toCose ? a. tan20 + sec²e b. tan²O sec²e c. sin²O cot²e d. sin?e…

A: Which of the following is equal to cos2θ? a. tan2θ+sec2θ b. tan2θsec2θ c. sin2θcot2θ d. sin2θ-cot2θ…

Q: Use the trigonometric ratio cos e= 0.6798 to determine which of the following is the correct value…

A: Given information: cosθ=0.6798, 0≤θ≤360°. Calculation: cosθ=0.6798,  0≤θ≤360°θ=cos-10.6798,…

Q: Use a calculator to find theta, to the nearest tenth of a degree, if theta is between 0° and 360°…

A: we have to find the value of θ if we have sin θ=0.44 and 0&lt;θ&lt;360°

Q: You are given that cos(A) =, with A in Quadrant I, and sin(B) = - with B in Quadrant III. Find…

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Q: Complete the table, which shows the EXACT values (if possible) of the sine, the cosine and the…

A: To complete the tableExplanation:Let us take 04,14,24,34,44 =0, 12,12,32,1which gives the value of…

Q: Given that sin0 Y, where 0 is in QIV, what is tan 0? O v3 V3 3 O -V3 O No correct answer

A: The answer is -√3.

Q: If sin (2a) cos (a +30), what is the value of a ? O20 O 20 O 30 О 50 O 110

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Q: Given tan a = 24' a in the third quadrant, sin ß = ß in the second quadrant, find the exact value of…

A: In this question we have to find the value of the following trigonometry function.

Q: 17x sin 6 cos(-210°) cos270° tan450° undefined a. b. 0 1 C. 73 d. -√5 2

A: I am attaching image so that you understand each and every step.

Q: In the figure below, A ABC ~ AYXZ. Find tan X, cos.X, and sin.X. Round your answers to the nearest…

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Q: Give the exact value of the following: sin? (300°) + sec(135°)

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Q: Find the expression identical to the one given. cos?. O 1+ cot? e O tan 0+ sin e 2 tan e tan e- sin…

A: Use trigonometric identities to solve it.

Q: Find the Value of x below. Round to the nearest hundredth. *SOH - CAH- TOA *Use inverse trig: sin ,…

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Q: Evaluate the following. Round angles to the nearest tenth and all other values to the nearest…

A: Given query is to eveluate the expression.

Q: State a trigonometric ratio which is equivalent to each of the following trigonometric ratios. 1.…

A: 1) sin 3π10=(sin π-3π10)         [sinθ=sinπ-θ]=sin 7π10 2)-sin 13π7=sin (π+13π7) =sin(207π)=sin…

Q: Use the given information and a calculator to find ? to the nearest tenth of a degree if 0° ≤ ? <…

A: Let us take ? = x. So, we need to solve cosx=0.2265.…

Q: Given sin a = ,270° < a < 360° and tan B ,180° < B< 270°, find the exact value of sin(a + B).

A: In order to solve the given problem first find out the quadrant in which both the angles lies. Find…

Q: Evaluate the expressIon under The given conditions 3 Sin(-e); tan(4)- 4 e); tan(e)·, o in Quadrant I…

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Q: Use the given information to find the exact value of a. sin 20, b. cos 20, and c. tan 20. 15 cos 9 =…

A: sin2θ= 2 sinθ cosθ cos2θ = cos2θ- sin2θ

Q: Use a calculator to find ? to the nearest tenth of a degree, if 0° < ? < 360° and cos( ?)=-0.7620…

A: Given: cos( x )=-0.7620 0° &lt; x &lt; 360°

Q: Use the given information and a calculator to find ? to the nearest tenth of a degree, if 0° ≤ ? <…

A: let sinx=-0.3097 and solve it .

Q: Find the value of each trigonometric ratio. Write your answer as a decimal rounded to the nearest…

A: a)tan C= ABBC           =2432            = 34            = 0.75

Q: Use the given information to find the exact value of the expression 12 21 a lies in quadrant III,…

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Q: 24. Use the trigonometric ratio cos e= 0.6798 to determine which of the following is the correct…

A: We use trigonometry ratios.

Q: Evaluate the expression under the given conditions. cos(? − ?);  cos(?) = 3/5,  ? in Quadrant IV,…

A:

Q: Find the value of each trigonometric ratio to the nearest ten-thousandth. 7) cos X 39 15 36

A:

Q: Find the acute angle theta for which tan theta 5 3.152. Round youranswer to the nearest tenth of a…

A: We have to find the acute angle theta for which tan theta 53.152.

Q: Find the value of each trigonometric ratio to the nearest ten-thousandth. Cos 6° 0.0000 0.9945 O…

A: To find the value of Cos(6) Nearest ten thousand

Q: Find the value of each trigonometric ratio. Write your answer as a fraction in simplest form. 1) sin…

A: We have given right angled triangle and all sides are given.  We have to find the trigonometrical…

Q: Homework Conformation.

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Q: use the unit circle to state the three basic trig ratios for 3. C)tane ()

A: Topic:- trigonometry ratios

Q: Find the value of each trigonometric ratio. Cos X 50 14 48 Y 24 24 7. 25 725

A: XY = 14 XZ = 50 ZY = 48

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.