Why do we use the Laws of Sine and Cosine O In order to solve a reciprocal O To verify trig expresssions To find missing parts of any triangle O To find missing parts of right triangles

Q: Part of a two-column proof is shown with just the statements filled in. Which reason CANNOT be used…

A: AA theorem : if we compare △PQT and △PRS, it is clear that, to prove the congruence of these two…

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Consider the figure below to find angle B.

Q: Use an addition or subtraction formula to write cos 8°cos 44° + sin 8°sin 44° as a trigonometric…

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Q: give exact value of expression without calculator sin(2tan to the negative 1 power (-5/12))  solve…

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Q: if sin + 90 degrees is = cosine sin + 180 degrees = -sin what is sin - 90 degrees

A: if sin (+ 90 degrees) is = cosine sin (+ 180 degrees) = -sin what is sin - 90 degrees

Q: sin 79°

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Q: If the power of the cosine is odd and positive Convert the remaining factors into cosines Convert…

A: Given query asks how to solve integral of the given cosine function whose power is odd and positive.

Q: cos 50° cos 275° + se

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Q: Use double- and half-angle formulas to find the exact value of the expression cos2 15° - sin2 15°.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: 4. Solve triangle AABC if ZA = 43, with sides a = 81, and b = 62. Round lengths of sides to the…

A: Solution Question 4  Given, △ABC in which ∠A =43°  ;   a =81   and  b = 62  We have to find the side…

Q: Use the Difference Formula for Cosines to Find the Exact Value of cos 80° cos 20° + sin 80° sin 20°.

A: We have to find the value of cos80°cos20°+sin80°sin20° using the difference formula for Cosines. We…

Q: Find the exact value of the expression, if possible sin-1 (sin 5π/6). Do not use a calculator.

A: sin-1sin5π6

Q: If we know the values of sin(x) and cos(x), we can find the value of sin(2x) by using the -Select-…

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Q: Explain why the co-function identity is true: sin A = cos(90 - A) Then draw or find a triangle with…

A: This question can be solved using the concept of trigonometric identities.

Q: sin(75degrees) solve using half angle identity

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Q: Nadia was asked to show that the sine of an angle and the cosine of its complement are equal.  To do…

A: The given question is  Nadia was asked to show that the sine of an angle and the cosine of its…

Q: tan 20° + tan 25° 1 tan 20° tan 25° 36. tan 200°– tan 80° 1+ tan 200° tan 80° 37.

A: Solve the following

Q: 8. Find the exact value of the expression. Do not use a calculator. sin 45° cos 60°

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Q: If 75° 150 then use the half-angle formulas to determine the exact value of sin(75°) cos(75°)

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Q: Use the Addition Formula for Cosine to prove the Double-Angle Formula for Cosine. cos 2x = cos?(x) –…

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Q: Use a sum or difference formula to find the exact value of the trigonometric function. Cos 12 cos 12…

A: We have to find

Q: Apply half-angle formula to find: a. cos 15°           B. sin 15°          c. cos 5π/8

A: We know that, half angle formula for sine and cosine functions is given as sinθ2=1-cosθ2…

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: The given triangle ABC has ∠A=36.8°, a=186.2 and b=246.3

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: We can use law of sines to solve the problem Law of sines is given by for a triangle ABC as a/sinA =…

Q: 7. The expression 1+ cote csc A. sine + cos sine + cos B. sine 1+ cose C. sine D. 1+cose is…

A: Use trigonometric identity to simplify the expression.

Q: 30. sen 75° cos 38° - cos 75° sen 38° =

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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: If the terminal side of a contains the point (-12, –5) and the terminal side of B.contains the point…

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Q: 8) sin 30°

A: I provide you proof for this Question using equilateral triangle

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: we have been given a triangle ABC, in which ∠A=36.3° , a=186.2 and b=246.1 we have to solve the…

Q: 2) Find the sine of 15° using the sum/difference formulal Answers are to be in radical format.

A: Let x=sin15o so using sum/difference formula for 30o is:  cos30o=1-2sin215o32=1-2x2x2=12-34x=12-34

Q: In a right triangle, cos (9x)° = sin (7x – 6)°. Find the larger of the triangle's two acute angles.…

A: In a right angle triangle cos(9x)° = sin(7x-6)°.  Find the larger of the triangle's two acute angles…

Q: Express sin670 + cos750 in terms of trigonometry ratios of angles between 00 and 450

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Q: Use the Half-angle Formulas to find the exact value of the expression cos 165°. cos 165° (Type an…

A: To find the exact value of the expression.cos165°

Q: Find the exact value of the expression sin2 π/7 + cos2 π/7. Do not use a calculator.

A: To find the value of sin2π7+cos2π7. We know that sin2θ+cos2θ=1. Therefore, using the above identity.…

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Topic:- trigonometry ratios and laws in triangle

Q: What trigonometric function can be used to solve for the missing side based on the illustration? 13…

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Q: If cot θ = square root of 3 and cos θ < 0, find csc θ

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Q: Simplify without a calculator: cos (22.5°)- sin (22.5°)

A: Use trig identity:-   Cos2(x)- Sin2(x) = Cos(2x)

Q: If 45° + 30° = 75°, then use the sum formulas for sine and cosine to find the exact value of…

A: Given- 45∘+30∘=75∘ To find - sin(75∘) and cos(75∘) using sum formulas.

Q: To find sin cos-), we let 0 = cos O and complete the right triangle below. We find that sin cos-O)…

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Q: Given that cos 20- sine=-2 show that this can be written as quadratic in terms of sine.

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Q: Use a sum or difference formula to find the exact value of the expression cos 65° cos 5° + sin 65°…

A: By using trigonometric formula, cosA-B = cos A cos B + sin A sin B To find exact value of  cos 65°…

Q: Based on the figure, select all true equations. 48 cos (42) = ? cos (48) = ! sin (42) = ? sin (48) =…

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Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Using sine law.

Q: Find an angle 0 with 0° < 0 < 360° that has the same: Sine as 10°: 0 = %3D degrees Cosine as 10°: 0…

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Q: If 0 then 3 || sin(0) = cos(0) = Give exact values. No decimals allowed!

A: Please refer the attached image for complete solution.

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Explained below

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.