True or false: The sine of twice an angle equals twice the sine of the angle -----------------------

Q: Statement is true or false      The sine of the sum of two angles equals the sum of the sines of…

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Q: The sine and cosine are cofunctions and reciprocals of each other. Determine whether the statement…

A: Note that the sine and cosine are cofunctions but not reciprocal of each other.

Q: Use double- and half-angle formulas to find the exact value of the expression sin 22.5°.

A: Given: sin 22.5° To find: The exact value by using double and half-angle formula.

Q: True or False and explain why 1. One degree is larger than one radian.

A: A radian is much bigger than a degree. A circle has 2π radians (a little more than six radians). A…

Q: 20. Prove that an angle of 0 radians is constructible if and only if the real number cose(sine)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: 13π/12 as the sum of two angles and evaluate the sine of the angle using the angle sum

A: Explanation and solutions is given below....

Q: Write the expression sin 5 π/12 cos π/4 - cos 5 π/12 sin π/4 as the sine, cosine, or tangent of an…

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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: True or False and explain why 3. Because sin(-t)= -sin t, you can conclude that the sine of a…

A: True.

Q: Find the values of sin 6 and tan if the point (-3, 4) is on the terminal side of @

A: We will use polar co-ordinate to find Trigonometric ratios

Q: True or false: The sine ratio is opposite side over adjacent side. O True False

A: Given: sine ratio

Q: Evaluate sin^-1(-(sqrt(3)/2)) in radians in the interval [-pi/2,pi/2]

A: consider the expression, sin-1-32 in the given intervals -π2,π2

Q: True or False The equation sinθ = 2 has a real solution that can be found using a calculator.

A: Let the function be f(θ)=sin θ .The domain of function includes all real numbers . And the range of…

Q: 27. Find all angles 0, in exact radians, satisfying sin 0 -4. Remember to justify your answer.

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Q: Using law of sines , find Q.

A: Given: p=19∠R=63°∠Q=78°Therefore:∠P=180-∠R+∠Q∠P=180-63-78∠P=39°

Q: The sine and cosine are cofunctions and reciprocals of each other.Determine whether the statement…

A: Given, Determine the sine and cosine are cofunctions and reciprocals of each other

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: Evaluate arc sin(-1). A. - c.- D. – В.- C.-I 3 A В Ос D

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Q: Write the expression in terms of sine only. 3 sin 7xx + 3/3 cos 7xx

A: We have to write the given expression in terms of sine: 3sin7πx+33cos7πx Taking '3' common from the…

Q: Use appropriate double angle formulas to rewrite sin^(4)\theta in terms of the first power of the…

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Q: sin 20 If x = 8 tan 0, write the expression in terms of just x. (Simplify the double angle using a…

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Q: Example of worded problem of sum and difference identities of sine and cosine

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Q: If sinA=2/3 Then find the value of TanA.

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Q: Find the exact value of sin 255◦

A: Formula: 1.  sin(180°+x) = - sin(x)  2. sin(x+y) = sin(x). cos(y) + cos(x). sin(y)    The main…

Q: Why sine of any angle in the first quadrant is positive and give an example

A: Given, Why sine of any angle is positive in the first quadrant Explanation : -  when we make a…

Q: Write sin(13π/12) in terms of the sine of a positive acute angle.   how would it be written out…

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

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Q: press sin(30) in terms of powers of sin & only.

A: Topic:- trigonometry

Q: What is the law of sines?

A: To define: The law if sines.

Q: Write "csc(theta)Tan(theta)" in terms of sines and cosines

A: Topic - trigonometry

Q: What is the sin of θ = 40°?

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Q: (1 point) Simplify and write the trigonometric expression in terms of sine and cosine: sect - cost =…

A: Answer is- Sint.   Explanation of the solution is given below...

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

A: Use the double angle formula for cosine, cos2x=1-2sin2x. Use the algebraic identity,…

Q: Express the given sum or difference as a product of sines and/or cosines. sin 90- sin 5e

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Q: Supposed SinA Cos A = square root of 3 / 2, Find Sin of 2A, do not use a calculator.

A:

Q: Not sure how to express the answers in trigonometric form.

A: From the given equation we solve for x Then we write -2+i in polar form For that we need Because…

Q: True or False: cos(sin 0) = 1 and sin(cos0) = %3D

A: I have shown that given result is False.

Q: Sketch the angle θ in standard position that has the point (5, –3) on its terminal side. Find the…

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Q: Area of any triangle can be found by the product of 1/2, two adjacent sides, and the sine of the…

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Q: se an identity to explain how to find the value of sin(θ−180∘)sin⁡(θ−180∘)

A: Question is solved.

Q: 5) Find the value of the Sine, Cosine, Cosecant and Secant, if 0= 240°. sine = csce = 240 cos0 =…

A: Explanation of the answer is as follows

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

A: Given expression: sin-1-32

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

A: We know the basic formula of cos2x=1-2sin2x According to the question, 2sin42x By using half angle…

Q: cot? 0 + 1 а. Express in terms of sines or cosines of 0 and simplify: tan? 0 + 1'

A: Solving the problem in terms of sine function.   NOTE :: As per our Expert guidelines we are…

Q: Write an original problem that can be solved using the Law of Sines. Then solve the problem.

A: Query- Write an original problem that can be solved using the Law of Sines. Then solve the problem.…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.