The angle t is an acute angle and sin t is given. Use the Pythagorean identity sin t+ cos t=1 to find cos t. sint=: ..... cost= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Q: Use the given information to find the missing ratio. 2 a) csc a, if sin a = 3 b) cot a, if tan a = 5…

A: a. We know the realtion between cscα and sinα is cscα=1sinα Then, we have given  sinα=23 Therefore,…

Q: Evaluate the following expressions. The answer must be given as a fraction, no decimals . If…

A: In iv quadrant except cos and sec all the remaining values will be negative tanθ=-119we know…

Q: Using Euler's Formula and the identity: c3 = c°c° , show that: а. sin 20 = 2 sin e cos e b. cos 20 =…

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Q: Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the…

A: To find: The value of sin 15°, cos 15°, tan 15°. Formula used: Half angle formula: sin θ=1-cos 2θ2…

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

A: By using trigonometric ratio, we calculate the required trigonometric value.

Q: The angle 0 is acute and cos 0 = is given. Use a Pythagorean identity to find sin 0. 77

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Q: Given: sin a 13 Find: cos a and tan a

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Q: You are given that sin(A)=−33/65, with A in Quadrant III, and cos(B)=4/5, with B in Quadrant I. Find…

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Q: If sin e + cos e =p and sec e + cosec e = q, show that q (p? -1) - 2 p.

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Q: Use the given information to find the exact value of a. sin 20, b. cos 20, and c. tan 2 12 cos 0 = ,…

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Q: Given sin A 8. 17, angle A in quadrant 2, and Cos B %3D , angle B in quadrant 3, find the value of…

A: # We are entitled to solve one question at a time ,please resubmit the other question if you wish to…

Q: Given that θ is an acute angle and cos θ = 7/25, find: a) tan θ b) sin θ c) sec θ

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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: when using the halfangle formula for sin A/2 or cos A/2 the sign in front of the radical is…

A: when using the half angle formula for sin A/2 or cos A/2 the sign in front of the radical is…

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: Use the given information to find the exact value of a. sin 20, b. cos 20, and c. tan 20. 10 ,O lies…

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Q: In a right triangle ABC, tan(A) = 3/4. Find sin(A) and cos(A).

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Q: If sin A = 4 and cos B = where <A, B<. 13 Find the value sin (A +B) RIN

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Q: practice question, I attached a picture

A: Calculation:a)Simplify (b/a) + (1/b) as follows.

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: 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: You are given that cos(A)=−45, with A in Quadrant II, and sin(B)=−2425, with B in Quadrant III. Find…

A: cosA=-45; A in Q2sinB=-2425; B in  Q3sinA+B=?step1:Find sinA, cosB By pythagorean…

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

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Q: given that sinx=square root of 6/3 and siny=square root of 8/3, and that angles x and y are both in…

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Q: If sin A -I and cos B =? where A and Bare in Quadrant IV, find cos(A+ B).

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Q: Given sin 0 = - and angle 0 is in Quadrant IV, what is the exact value of cos 0 in simplest form?…

A: According to the problem, we have

Q: Use the given information to find the exact value of the expression. sin θ = 24/26 , θ lies in…

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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: If sin(A+ 60°) = cos 2A where 2A is an acute angle, then find the value of A

A: We have to find the value of A where 2A is an acute angle and given that: sin A+60°=cos 2A We know…

Q: and that angle A is in Quadrant IV, find the exact value of csc A V91 10 Given cos A : in simplest…

A: The objective is to find the exact value of cscA.

Q: Given that the point (6, -8) is on the terminal side of an angle, 0, find the exact value of the…

A: (6,-8) is a point in forth quadrant. Only cosine and secent are positive.

Q: Suppose the angle A satisfies 0 0: The angle A is in quadrant Quadrant? The angle A/2 is in…

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Q: Find the exact value of the expression cos (a+B), sin (os+B), and tam Sin (a) = T)lies in quadrant…

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Q: If sin ZC AB= and AC = 15, what is the value of cos ZC AB? %3D O 1

A: Given Data: The length of the side  AC is: AC=15 The sine of the angle CAB is: sin∠CAB=35 The sine…

Q: Given that sin(0) = -, and 0 is in Quadrant III, what is cos(20)? 24 25

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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. 24 , 0…

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Q: Show by means of the trigonometric identity sin 3a = 3 sin a - 4 sin'a that the angle 30° cannot be…

A: Given,Sin3α=3sinα-4sin3α       .....1

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: = For positive acute angles A and B, it is known that tan A Find the value of cos(A + B) in simplest…

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Q: If sin e + cos e =p and sec e + cosec e = q, show that q (p? -1)= 2 p.

A: Solution-

Q: Given sin B = 5/13 in Q|| , and (6,-8) is on the terminal side of a , find the exact value of…

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Q: Next Using a double-angle or half-angle formula to simplify the given expressions. (a) If 2…

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Q: You are given that sin(A) = , with A in Quadrant I, and cos(B) = -, with B in Quadrant III. Find 5'…

A: We have, sin(A) = 35 ; A is in quadrant I cos(B) = -725 ; B is in quadrant III To evaluate : The…

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

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Q: Find tan (θ) given that sin (θ) = 1/3 and θ is in quadrant II.

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

A: Given that ABC is a right triangle such that ∠C=90° and b=5 and c=6 . We  have to find sinA,…

Q: If the terminal side of angle 0 goes through the point (, v) V5 2V5 5 on the unit circle, then what…

A: The terminal side of an anglegoes through the pointon the unit circle. If (x, y) is a point on the…

Q: Let B be one of the two acute angles of a right triangle.  The hypotenuse of the triangle is of…

A: It is given that  hypotenuse of the triangle is of length 130, the side of the triangle adjacent to…

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

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Q: 1. Using the half-angle formula, simplify the following expression. sin 48° 1 + cos 48°

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