You are given that cos(A) = -, with A in Quadrant III, and cos(B) = -, with B in Quadrant II. Find sin(A- B). Give your answer as a fraction.

Q: 2) Find the exact value of eac a) cos 135°

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Q: In right ∆PDR, Angles P and R are the acute angles. If cos P = √33/7, sin P = .   Express your…

A: ∆PDR is right angled triangle at D. P and R are acute angles.

Q: Find the exact value, given that sin A =-45, with A in quadrant IV, tan B = 724 with B in quadrant…

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Q: Given that 3 tan 4x = 1-4 sec 4x, the largest value of æ, for () < x < T, is PT radians, where p =

A: The given trigonometric equation is  3tan24x = 1 - 4sec4x

Q: If sin A = −√65 /65 with 180 ≤ A ≤ 270, find cosA/2

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Q: If sin A = 5 with A in QI , find Cos Cos Cos Cos cos CoS

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Q: find sin A, cos A, and tan A.

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Q: Reduce sin θ + 2 cos θ to the form r sin(θ + ϕ), and find ϕ

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Q: Find the exact value of sin α = 4/5 , a lies in quadrant I, and sin α = 7/25, β lies in quadrant…

A: Given Using trigonometric identity Here, Similarly, Also, And

Q: In a right triangle, the acute angles have the relationship sin(2x +4) = cos(46). What is the value…

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Q: 6. 2/10 2.

A: Solved below...

Q: Suppose ABC is a right triangle, and the tangent of A is 30/6. What is the value of cos A?

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Q: 1. Given that tan 0 , and cos 0 > 0, find sin 20, cos 20, and tan 20.

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Q: If sin (B) = -1/5 with B in QIII, find cos (B/2). cos (B/2) =

A: We have to determine the value of cosB2 when sinB=-15 We know that…

Q: Given sin b=5/13 in qii,find the exqct value of sin(2B)

A: Given that         sinB = 5/13 , where B is in Q II.      We have to find the value of sin2B.

Q: Find the exact value, given that sin A = - 4/5, with A in quadrant IV, tan B = 7/24 with B in…

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Q: Give the EXACT values for the quantities. (a) sin 19 (b) cos (c) cos = COS

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Q: If sin(2x + 7)° = cos(4x –7)°, what is the value of x? Show how you got your answer. -

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Q: . Show that for a small angle 0, measured in radians, sin 30(1– cos 20) z 60³ .

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Q: From the formula of sin (A + B), deduce the formulae of cos(A+ B) and cos (A- B).

A: To derive formula cos(A+B) &amp; cos(A-B) using formula of sin(A+B)

Q: The value of ( sin A+ cos A)2 - sin 2A is

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Q: If sin 0= and is in QII, cos is equal to COS A 4/5 5/3 -4/5 D -5/3 B.

A: Given Sinθ=35We know sin2x+cos2x=1Upon substituting:cos x=1-sin2x        =1-(35)2

Q: Given tan θ = - 1/3 and cos θ &lt; 0, find sin θ and sec θ.

A: To find sinθ and secθ

Q: In a right triangle, one acute angle measures X°. If cos(x)= 3/4, what is the sin(90-x)?

A: In a right triangle,  Cos(x) = 3/4 We have to find sin(90-x)

Q: 2) Use a double-angle formula to simplify: sin (10z) cos (5r)

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Q: 1. Given that the radius r of the unit circle is 1, what would be the values of sin 0 and cos 0 in…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 3 Given that the cos(0)= and is in the first quadrant, what is the exact value of sin(20) ?

A: Given that: cos(θ)=35  and θ is in first qudrantWe know that sin2θ+cos2θ=1substituting  cos(θ)=35…

Q: Given sin ß = in QII, and is on the terminal side of a the exact value of: • sin(a + B)

A: Given: sinβ=513

Q: The Equivalent expression of (cos 3A) / (sin A cos A) is ?

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Q: If sin A= -4/5 with A in QIII, find cos A/2

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Q: If cos b = and sin a = £, where a and b are between 0 and , evaluate: %3D sin 2a cos(a - b)

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Q: Find the exact value of cos(x + y), given sinx = 3/5, cosy = 4/5, x is an angle in Quadrant II, and…

A: Topic = Trigonometry

Q: Find ton A and sin 0 Given: CoS 0- 2. and Sin OLO 3.

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Q: If sin A = 3/5 with A in QII, find the following. Express your solution as a fraction.      a. cos…

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Q: In right triangle ABC, m∠C = 90°, and sin A = 3535. What is the value of cos B?

A: The triangle ABC is a right angled triangle, therefore the relation between angle A and B can be…

Q: Find the exact value, given that sin A = - 4/5, with A in quadrant IV, tan B = 7/24 with B in…

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Q: 4 The value of [ cos* 30 sin° 60 de is

A: We need to calculate the given definite integral for which we will use the substitution.

Q: If sin A = 15/17, sin B = 5/13, cosA = 8/17, andcosB = 12/13, what is the exact value of sin(A – B)…

A: Here we find the value of Sin(A-B)

Q: You are given that sin(A) = , with A in Quadrant I, and cos(B) = -, with B in Quadrant III. Find 5'…

A: We have, sin(A) = 35 ; A is in quadrant I cos(B) = -725 ; B is in quadrant III To evaluate : The…

Q: Given that sin 0 =-- and 0 lies in quadrant IV, find the exact value of cos

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Q: Given an acute angle cosx=2/5, use half-angle identity to find the exact value of cos(x/2).

A: Given problem:- Given an acute angle cosx=2/5, use half-angle identity to find the exact value of…

Q: 4. Apply half-angle formula to find b. sin 15° 5m C. COS a. cos 15°

A: The half-angle formulas are: sinθ2=±1-cosθ2cosθ2=±1+cosθ2   We know that the sine function is…

Q: The formula for cos(at B) is cos a cos B - sin a sin B cos a cos B + sin asin B sin a sin B - cos a…

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Q: If cos 0 = and 0 is acute, then cos 20 is

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Q: Given sin a = - a € QIII, and cos ß = – ,BE QII, find the exact value of sin(a + B).

A: We have sinα =-35, α∈QIII cosβ =-22, β∈QII To evaluate : The exact value of sinα+β

Q: Given sinα=−3/5 when 3π/2 ≤α≤ 2π , find the exact value of cos ⁡α/2, without using a calculator.

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Q: Find the remaining trigonometric ratios of θ based on csc θ = 2 and cos θ is negative

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Q: Given that 16cot A = 12:Find the value of sinA + cos A sinA – cosA -

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Q: 8. Given that sin 0 = , and the angle 0 is in the first quadrant, find the value for cos 0.

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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.