This is a Numerical Answer question. Please enter your answer as a decimal without units so that it can be efficiently graded. 3 Suppose that angle 0 is an acute angle in a right triangle. If cos(0) =, find sin(0).

Q: 6. B In right triangle ABC above, what is sin B?

A: Given, The right triangle ABC with right angle at C Where AB=8, BC =5  and  CA = 6 We have to find…

Q: If sin (A) = 3/13 with A in QII, find sec (2A). sec (2A) =

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Q: What is cos 0 if 0 is an angle in the second quadrant and sin 0 = V3 7 A

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Q: Given that 3 tan 4x = 1-4 sec 4x, the largest value of æ, for () < x < T, is PT radians, where p =

A: The given trigonometric equation is  3tan24x = 1 - 4sec4x

Q: In the given figure, what is the value of sin E?

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Q: For positive acute angles A and B, it is known that cos A= 9/41 and tan B=21/20. Find the value of…

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Q: 6. 2/10 2.

A: Solved below...

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

A: Topic:- trigonometry ratios

Q: If cos t = and t is in the 3rd quadrant, then sin t =

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Q: 119 Suppose that is an angle in quadrant 4 and that cos B 2 Compute the exact value of 169 %3D (2).…

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Q: From the formula of sin (A + B), deduce the formulae of cos(A+ B) and cos (A- B).

A: To derive formula cos(A+B) &amp; cos(A-B) using formula of sin(A+B)

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: If sin (x – -) = A cos x, then the number A is equal to A. π С. О В. Е D. –1

A: Given that sinx-π2=A cos x

Q: 180°), determine without the use of a calculator and with the aid of a diagram the value of: cosß…

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Q: If sin 0= and is in QII, cos is equal to COS A 4/5 5/3 -4/5 D -5/3 B.

A: Given Sinθ=35We know sin2x+cos2x=1Upon substituting:cos x=1-sin2x        =1-(35)2

Q: Enter your answer as an exact ratio, or a decimal rounded to at least 4 decimal places. If tan(0)…

A: We find the values by Pythagoras theorem.

Q: For this problem, let sin 6 = 60 and cos e = 11 %3D 61 > 61 » and find tan 0

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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: cos y = - where - 3' 2

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Q: In a right triangle = x and cos B= y which expression represents the value of sin C + cos C O y+x O…

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Q: Find the exact value. Given that sin e = - 4 with 0 in quadrant IV, find tan 20. %3! O -24 7. 24 24

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Q: 10. Consider the following figure. 5 4 B Write down the value of the ratio represented by 10a sin 0.…

A: We have given the following triangle  We have to find the value of sinθ.

Q: Given that tan e 0.824, what is cos O? Round your answer to 3 decimal places.

A: Here we have to convert the tangent angle to cosine angle.   Solve the Pythagorean identity to…

Q: Find sin A, cos A, tan A, and sin B, cos B, and tan B in right triangle ABC, with C 5 90°given the…

A: Given that a=1,b=2. Draw the △ABC with C=90° as shown below:

Q: For a given angle a in 5,), we have sin a = . Determine cos x and tan oc exactly.

A: trigonometric ratio problem.

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

A: cos2α=1-sin2α sinα+β=sinαcosβ+cosαsinβ

Q: For positive acute angles A and B, it is known that tan A = and 5 cos B=3. Find the value of sin(A -…

A: Sol:- tan(A)=pb=409 ; h = 402+92=41Therefore , sin(A)=ph=4041cos(B)=bh=513 ; p = 132-52=12Therefore…

Q: Approximate to four decimal places, when appropriate.

A: To evaluate,

Q: If cos b = and sin a = £, where a and b are between 0 and , evaluate: %3D sin 2a cos(a - b)

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Q: Assuming all angles are acute, what is the solution for the following equation: sin A = cos 8A

A: The given equation is  sin A = cos 8A

Q: 2. If tan 0 =, 0 E Q II, find the other five trigonometric functions. %3D

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Q: Given sin a = -, a is in QIIl and cos B = , Bis in QIV. Where is angle (a + B) located? O on the…

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Q: Suppose cos(α)=−3/4 and sin(α) is negative. If the point (−3,y) is on the terminal side of the…

A: Use trigonometric ratio  &amp; its identity

Q: For positive acute angles A and B, it is known that sin A = 1 and 15 17 cos B Find the value of…

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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: Given that sin' (x) and cos ( x), show that sin(a+B) = 1

A: Given that sin^-1 (x) and cos^-1(x) We have to prove that sin ( alpha + beta) = 1

Q: If Sin A=5/13 with A in QII, then find sec A/2

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Q: Given that tan A= and sin(A B) = 2 cos(A– B), the exact values of %3D sin 2A = and tan B = %3D

A: To find Sin2A and tanB Given that tana=1/3 Sin(A+B)=2cos(A-B)

Q: Given that sin x 3 and 0° < x < 90°, what is the value of tan %3D

A: Given that sinx=35 and 0&lt;x&lt;90 We need to find the value of tanx2 Take sinx=35…

Q: If sin A = 15/17, sin B = 5/13, cosA = 8/17, andcosB = 12/13, what is the exact value of sin(A – B)…

A: Here we find the value of Sin(A-B)

Q: If sin y° =  9/c and tan y° = 9/d, what is the value of cos y°?

A: We know that, tan y°=sin y°/cos y°, So, cos y°=sin y°/tan y°.

Q: 3. For acute angle 0, we have that tan 0 = 2. Provide the exact values of each of the following…

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Q: If cos t =- and t is in the 3nd quadrant, then sin t

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Q: It is known that sin A =, where < A < n, and cos B = n< B < . Find the exact values of: where 13 3x…

A: Given that, sinA=35,π2&lt;A&lt;πcosA=-513,π&lt;B&lt;3π2

Q: Find the ratios for cos A and sin B. A 5 3 Not drawn to scale cos A = sin B =}

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Q: For positive acute angles A and B, it is known that Sin A=21/29 and Cos B=7/25. Find the value of…

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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: sin e cot e + 6 cos e

A: Convert sec tan and cot in terms of sin and cos

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.