Use a sum or difference formula to find the exact value of the following. sin cos 15 10 + cos 10 sin 15

Q: Use a sum or difference formula to find the exact value of the following. 2л Cos 15 2л sin 15 CoS 5…

A: Given,         cosπ5cos2π15-sinπ5sin2π15We know that,         cosA+B=cosAcosB-sinAsinB

Q: Use the product-to-sum formula to find the exact value: VA - B If cos 37.5° sin 7.5° then 4 A = B

A: Here use basic product to sum formulas of trigonometry.

Q: Find the exact value of 5cos 3 pi / 2 + 3 sin pi/2

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Q: If sin 0 = 0<0< 2' find the exact value of each of the following. (a) sin (20) (b) cos (20) (c) sin…

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Q: Find the exact value of each expression.

A: The given expression can be evaluated using the cosine of sum of angles formula or the compound…

Q: If sin 0 = 24,0<0< 25 (a) sin (20) π find the exact value of each of the following. 2 Ꮎ 2 (b) cos

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Q: Find the exact value of each expression. (a) sin 33° cos 12° + cos 33° sin 12°

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Q: If sin 0 e and 7 < 0 < n then evaluate the following: a) sin 20 b) cos (;)

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Q: Given that sin A= 55/73. Find cos A.

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Q: Use the exact value of cos (11π/6) and the half-angle identity for sine to show that an exact value…

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Q: Use the sum-to-product formula to find the exact value: If cos 255° cos 195° VA then LA

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Q: Use a sum or difference formula to find the exact value of the following. 3n sin cos 15 + cos sin 5…

A: To determine the value of the following.

Q: 2. (sin 60°)(cos 30°) + (cos 60°)(sin 30°)

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Q: Which of these is equal to sin 21°? A) Cos 21° B) Cos 69° C) sin 69° D) tan 69°

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Q: 15. Find the exact value of each expression. a) sin 8° cos 22° + cos 8º sin 22° b) sin 75°

A: The angles and the sides of a triangle are related by using trigonometric ratios. These ratios are…

Q: Draw a right triangle to simplify the given expression. Assume x 7 0. cos 12 sin-1 x2 (Hint: Use cos…

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

A: Use sin(-x)= - sin(x)

Q: Find the exact value of 23л sin 30 17 237 17 COS + cos sin 30 30 30

A: Let's find.

Q: Find the exact value of the expression. 7 sin sin + cos 25 17

A: Use sin(A+B)  , expand and solve

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

A: Trigonometry Question

Q: Given Sin 55°x 0.82 Find cos 35° 55 B

A: Given that : - sin 55°≈0.82 cos 35°=?

Q: Find the exact value of the expression. sin 25° cos 35° + cos 25° sin 35° O 1 O 5 12

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Q: Using the exact values of the sine and cosine of both 2π/3 and π/4 and an angle sum identity, show…

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Q: a. cos (α - β) b. tan 1/2α c. sin2β

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Q: K. Use an addition formula to find the exact value of cos 15° cos 75° + sin 15° sin 75°

A: Addition formula: cos(A-B)=cosA cosB+sinA sinB

Q: Use a sum or difference formula to find the exact value of the following. cos 7 21 6n + sin 7 sin 21…

A: To find the sum

Q: given cosθ =3/5, 3π/2 ≤ θ ≤ 2π and sinβ= -12/13; π ≤ β ≤ 3π/2; determine the exact values of the…

A: Topic:- trigonometry ratios

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

A: We find here trigonometry value.

Q: Use a sum or difference formula to find the exact value of the following. 19t sin 30 197 cos -+ cos…

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Q: Prove that the following identity is true. cot 0 cos 0 + sin 0 = csc 0 We begin by writing the left…

A: The given identity is,

Q: Use the appropriate reciprocal identity to find the exact value of sec 0 for the given value of cos…

A: We have the reciprocal identities,                 cosx=1secxsinx=1cosecxtanx = 1cotx Here we have…

Q: 12. sin 82.5° cos 37.5°

A: Since :  Sin(82.5°) Cos(37.5°).

Q: . Find the exact value of each expression. (a) sin 8° cos 22" + cos 8" sin 22° (b) sin 75° (c) sin…

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Q: Use a product-to-sum formula to rewrite sin 6b cos 5b as a sum or difference. sin 6b cos 5b = || %3D…

A: We know that sin(A+B) = sinA.cosB + cosA.sinB sin(A-B) = sinA.cosB - cosA.sinB

Q: If sin 0 = 0< 0<5, find the exact value of each of the following. 41' 2 (a) sin (20) (b) cos (20)…

A: Given that: sinθ=4041   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

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

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Q: If sin 0 ==.0<0<• 7' find the exact value of each of the following. 2 (a) sin (20) (b) cos (20) (C)…

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Q: Find the exact value of each of the following. 2411 sin (i) sin 101 1924 Cos 83 (ii) cos (iii) cos…

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Q: Find the exact value of the expression. cos(160°) cos(25°) + sin(160°) sin(25°)

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

A: Please see the answer below.

Q: If sin a = 3/5, cos β = - 13/37, and 0 < a < π/2 < β < π, find cos(a + β)

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Q: Find the exact value. sin(930°)= cos(930°)=

A: Explanation is given below..

Q: Find all possible values of each expression in radians and degrees. V3 9. -1 cos 10. sin V3 11. tan…

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Q: Use a sum or difference formula to find the exact value of the following. 13t cos 15 13л cos + sin…

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Q: Add the sum and difference formulas for sine to derive the following product to sum formula:  sin α…

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Q: Given sinb =5/13 in QII, find the exact value of the following. A. Sin (2b) B. Cos (2b) C. Tan (2b)

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Q: Apply the sum and difference identities to find the exact value of the given expression.…

A: Given expression as

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.