Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression. sin2 45° − 2 sin 45° cos 45° + cos2 45°

Q: Rewrite the expression below in terms of sin(8) and cos(8). (Simplify your answer.) sec(0)(1 +…

A: see the details solution in below

Q: Verify the identity. (Simplify at each step.) 6 cos? B - 6 sin? ß = 6 – 12 sin² B 6 cos? B – 6 sin²…

A: Simplify 6cos2β-6sin2β=6-12sin2β we know the formula that cos2x+sin2x=1 Implies that cos2x=1-sin2x

Q: Find the exact value of the expression, sin (cos-1 1/2 + sin-1 3/5). Do not use a calculator.

A: Now let

Q: Find the exact value of the following expression. 13x sin 12 13x sin 12 (Simplify your answer,…

A: The expression to be evaluated is : sin (13π/12)  We will make use of the following trigonometric…

Q: Find the exact value of each expression. (a) sin( 31л 25 1 257 (b) sin 6. -1- V3 2

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Q: Use an Addition or Subtraction Formula to simplify the equation. sin(?) cos(3?) + cos(?) sin(3?) = 0…

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Q: Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine…

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Q: sin 46° O 0.90 O 0.72 O 0.83 O 0.65 Use a calculator to find the approximate value of the expression…

A: To find:  1. Sin(46°)               2.Cos(1) Expression to be rounded in two decimal places. in…

Q: Simplify (cos(11t))+(cos(5t)/sin(11t)-sin(5t))

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Q: Use the power-reducing formulas to rewrite the expression in terms of the first power of the cosine.…

A: Given that, 4sin4xcos4x Use the power-reducing formulas to rewrite the expression in terms of the…

Q: 1. Find the exact value of the expression. Give your answer in radians. sin-'(-

A: To find the value of the given expression.

Q: Evaluate the expression cos−1(sin(π6))cos-1(sin(π6)).    Give your answer as an exact value

A: Given : cos -1(sin(π/6))*cos -1(sin(π/6)) Where , Sin(π/6) = 0.5

Q: Simplify the trigonometric expression. 4 4 1- sin(a) 1+ sin(a)

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Q: Use a double-angle formula to rewrite the expression. 1/4 cos^2 x -1/8

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Q: Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of…

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Q: cos 45° - sin 210° cos 300° 2. Evaluate the expression your answer as a reduced exact value. and…

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Q: Simplify the absolute value  3|cos ?|  if  ? = sin−1 x/3  for some real number x. (Give your…

A: Given angle is, θ=sin-1x3 Here, the objective is to find the simplify for absolute  sin−1x3. sinθ=x3…

Q: Verify the identity. (Simplify at each step.) (1 + sin ?)(1 − sin ?) = cos2 ? (1 + sin ?)(1 − sin…

A: Trigonometry Question

Q: Find the exact value of cos ​(u+​v) given that sin u=(-4)/(5), with u in quadrant IV​, and sin…

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Q: Simplify the expression by first substituting values from the table of exact values and then…

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Q: (b) 7 sin 0 + cos 0+cos´0 Example 32 12 sin 0 – 8 cos²0 -

A: secθ=1-tan2θ cos x = 1/ sec x   sin x = 1-cos2x

Q: cos (0) + sec (-0) tan(0)sin (20) 5. Simplify the following expression:

A: Simplify the following expression

Q: Find the exact value of the expression whenever it is defined. (If an answer is undefined, enter…

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Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula 1- cos(60°) (a) 2 1…

A: We need that half angle formula on the board.

Q: 1. Find the exact value: sinB: Given tanB= -2/5, 3r/2 <B< 2n

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Q: Solve the equation. sin 0 + cos 0 = ..... What is the solution in the interval 0<0< 2n? Select the…

A: To solve the equation:sinθ+cosθ=2

Q: Find the exact value of the expression sin 3π/2 tan (-15π/4) - cos (-5π/3). Write the answer as a…

A: We know that, sinπ+θ=-sinθ             ⋯⋯1tan4π-θ=-tanθ            ⋯⋯2cos2π-θ=cosθ…

Q: Find the exact value of the expression sin π/3 cos π - cos π/3 sin 3π/2. Write the answer as a…

A: Given expression, sinπ3cosπ-cosπ3sin3π2

Q: 3. Find the exact value of the expression using reference triangles. sin (csc-15 Cos-

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Q: 37 cos COS 16 sin -sin - 16 16 16

A: Here given expression Use the formula of the compound angle as

Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following…

A: Given information:: Find the exact value of the expressions cos(α+β), sin(α+β) and tan( α+β)…

Q: 2. 1- sin? æ csc² z – 1 .2

A: Given expression

Q: Write an expression that gives all solutions to the equation. sin x + cos x = - 12 + ka + 2k7 + ka…

A: Explained below

Q: Rewrite the expression below in terms of sin(0) and cos(8). (Simplif sec(e)(1 + tan(0)) sec(0) +…

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Q: Find the exact value of the expression sin π/4 cos 0 - sin π/6 cos π. Write the answer as a single…

A: Given:sinπ4 cos0-sinπ6 cosπ

Q: Find the value of the function: Give the exact form of the answer. (*)) 3 1 CoS ( sin 1 + cos

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Q: Simplify   sin 2 45  0 + cos 2  60 0

A: Simplify: sin245°+cos260°

Q: se the given condition to find the exact values of the expression.   cosX = 24/25, sinX < 0, cos(X…

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Q: Simplify the expression by first substituting values from the table of exact values and then…

A: Given 8 cos 30°2We simplify the expression by first substituting values from table of exact values…

Q: A. Written Works Find the numerical value of each expression. 1. sin 30° - cos 60°

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Q: Find the exact value of the expression sin 11π/4 cos 5π/6 + cos 11π/4 sin 5π/6. Write the answer as…

A: We have to find the exact value of the expression: sin 11π4 cos 5π6+cos 11π4 sin 5π6 We know the…

Q: The expression 5tan(x) sin(x) + 4sec(x) simplifies to A sec (x) - B cos(x). Determine the value of A…

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Q: Simplify the expression. sec @ — csc ө 2) sec 0 sin 0 – cos 0 csc 0

A: Simplify the expression

Q: Find an algebraic expression equal to sin (cos-¹ (5x-3)). (You may assume that − <cos-¹ (5x − 3) <…

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Q: 3) Find the EXACT value of sin(75°)sin(285°)

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Q: 3. Find exact value of each expression: given tanB = -2/5, 3r/2 <B< 2n (a) cos 2B, (b) sin 2B

A: We have to solve the angle

Q: What is the value of the expression below? * sin(-1) cos (1) + cosn) sinGn) cos(1) sin-n) 8°

A: Consider the given expression sin7π6cos7π6+cos8π3sin8π3. Obtain the value of the given expression as…

Q: Find the exact value. sin(570°)= cos(570°)=

A: Consider the following formulae: sin360°+θ=sinθcos360°+θ=cosθsin180°+θ=-sinθcos180°+θ=-cosθ Consider…