evaluate the sine, cosine, andtangent of each angle. Do not use a calculator. (a) −30° (b) 150°(c) −π/6(d) π/2

Q: simplify the trigonometric expression and write in terms of sine and cosine       tan2x-sec2x

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Q: C 50 A B

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

A:

Q: Give the answer to the trig function and the quadrant where the angle terminates. 47t sin 3 %3D

A:

Q: 3T 3-Evaluate Sin (", (Using reference angle) 學)

A: We have to evaluate  sin(3π/4) (using reference angle)

Q: Evaluate the sine, cosine, and tangent of the angle without using a calculator. 117 6.

A:

Q: In terms of the cosecant of a positive acute angle, what is the expression for csc(2)? Enter the…

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Q: Write sin(275°) in terms of the sine of a positive acute angle. Provide your answer below:

A:

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. 2 cos(t) tan(t)

A: The given trigonometric expression is,

Q: Write the first expression in terms of the second if the terminal point determined by t is in the…

A:

Q: Determine if the statement is true or false. The sine of twice an angle equals twice the sine of the…

A: Given: sin2θ=2sinθ we know that sin2x=2sinxcosx

Q: Find sin (2)dr (hint: use a half-angle formula twice).

A: Note: sin2x=2sinxcosx  Cos2x=1-2sin^2(x) And sin^2(x)+cos^2(x)=1 by using these formulas we solve…

Q: Use the "half-angle" formulas to find the sine and cosine of 15 degress.

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Q: What is the value of the sin@ in the right triangle with the given sides? V3 2

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Q: Label the triangle and then use the Law of Sines to find the value of X.

A: Given,           A triangle XYZ is shown below :

Q: Write cos ⁡ ( θ ) in terms of sin ⁡ ( θ ) if θ is an angle in quadrant II.

A:

Q: Use a calculator to find the acute angles between the planes into the nearest hundredth of a radian.…

A: Given lines are 4y + 3z = -12, 3x + 2y + 6z = 6. The plane equation can be written as,…

Q: Use words to describe the formula for, "the sine of double an angle."

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Q: Name the quadrant ir sine = and cose is II

A: We have to check

Q: Simplify the trigonometric expression: sin B+ cos BcotB 4.

A: Given that: sinB+cosB.cotB

Q: Serena is skiing around a circular trail that has a four kilometer radius. If she travels through an…

A: Distance travelled around path will be given by S=θ2π×2πRS=θR

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos?(e) (1 +…

A:

Q: Determine the quadrants in which the terminal side of the angle lies. Sin θ = -0.2588   a. 1 and…

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Q: Find the sine of angle © in the triangle below. 3 8

A: In a right angle triangle: tanθ =perendicularbase

Q: Give the answer to the trig function and the quadrant where the angle terminates. COS- 3.

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Q: Write the expression as the sine, cosine, or tangent of an angle. 3 COS sin)sin() COS - 7

A: Note that: cos x cos y-sin x sin y=cos (x+y)

Q: 47n in terms of the cosine of a positive acute angle Use a reference angle to write cos 36

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Q: Write the expression as the sine, cosine, or tangent of an angle. cos cos - sin sin 5

A: We know that  cosA+B=cosAcosB-sinAsinBA=2π7B=7π5

Q: Use words to describe the formula for:the sine of half an angle.

A: We can easily derive the formula for the sine of half an angle:   Let's use the trigonometric…

Q: 4. Which of the following angles in standard position has positive signs for all its trigonometric…

A: As of our company policy, i can answer only first question so, i am answering the first one

Q: New Give the answer to the trig function and the quadrant where the angle terminates. sin- 6. -

A:

Q: Find an angle θθwith 0∘< θ < 360∘that has the same: Sine as 40∘: θ = ___ degrees Cosine as 40∘: θ…

A: We need to find the same angle between 00&lt;θ&lt;3600.

Q: Write the trigonmetric expression in terms of sine and cosine, and then simplify.…

A: Cot(t) = Cos(t)/Sin(t)

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos?(e) (1 +…

A:

Q: Simplify and write the trigonometric expression in terms of sine and cosine: tan? a – sec? x 2 %|

A: We use  tan(A) = sin(A)/cos(A)  sec(A) = 1/cos(A)

Q: Name the quadrant in which the angle below is located. sine = - and cote is negative. II IV II

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Q: Use the half angle identity to find the exact value of cosine 165ﾟ

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Q: Write sin(4π/3) in terms of the sine of a positive acute angle.

A: Given, sin4π3

Q: The angle y whose sine is - the square root of 3 divided by 2 and which is in the interval [-?/2,…

A:

Q: Simplify and write the trigonometric expression in terms of sine and cosine: tan? x sec?

A: By using some formula of trigonometry

Q: 6cm is the hypotenuse x is the opposite side to the given angle. The correct ratio to be used is…

A: Given that, The length of the hypotenuse is 6 cm and the length to the opposite side is x cm.  The…

Q: (4) Use the angle subtraction formulas to find the sine and cosine of 15°.

A:

Q: Find the value of sect given that 3 , terminal point of tis in sint Quadrant IV

A: Given Data: The value of the sine of angle t is: sint=-35 The value of the cosine of angle t is,…

Q: Use words to describe the formula for:the power-reducing formula for the cosine squared of an angle.

A: Use the identity cos 2θ=2cos2 θ-1 to find the formula for cos2 θ (the cosine squared of an angle).…

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.