Let sin(0) for 0 € 5 [0, ). Find the following. A. (5 pts)sin 2 B. (5 pts)cos(20)

Q: sin r - cos z 2. 1+ sin(2r)

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Q: 7. Find the exact value of cos(tan (0.8)).

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Q: if x is in III, and cos x= - 8/17. Determine the exact value of sin 2x and cos 2x

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Q: If tant = what is tan (t - π)? Enter the exact answer. tan (t = π) = - AY

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Q: 48. Simplify a. 1/cos x b. 1/secx c. 1/tan x d. 1/sin x 1 sin³ x col² x sin x

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Q: Express the given quantity in terms of sin x and cos x. Sin (2n – x)

A: The given quantity is  sin(2π-x)

Q: 8. Show that sin a (1+ tan a) + cos a (1 + cot a) = sec a + csc a.

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Q: cos*x If S(cos³x ·B) dx = + C, what is the B? 4 А. - sin x C. - COS X . 1 В. D. sec x CSCX

A: We have to find the value of B in the given question.  This question can be done by using…

Q: バx 0 2. (5X sín x cos X dx

A: Use integration by parts

Q: Determine L{sin(4t + 5)}.

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Q: 1. Evaluate the value of sin (Arctan(-4/3) + Arccos(-5/13))

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Q: Suppose that cos(θ) = √6/ 5 , and π < θ < 2π.  Find the exact value of cos ( θ + 5π/ 4 )

A: It is given that, cos(θ) = √6/ 5 , and π &lt; θ &lt; 2π. We have to find the exact value of cos ( θ…

Q: 2. Apply the properties of even and odd functions to find the exact va a. sin(-120°) (-#) c. sin…

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Q: 2 cos? x – sin x – 1 = 0

A: We need to solve the equation 2cos2x-sinx-1=0.

Q: 3. Simplify the following expression completely: (sin x + cos x)² – 1

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Q: Ex2: Use the identities 4 and 5 to prove that: cos(x- y)-cos(x+y) (a) sin x sin y = 2

A: Formula used -  cos(A-B) = cosA cosB + sinA sinB  cos (A+B) = cosA cosB - sinA sinB

Q: If sin A=1/√10 with A in QII find cos 2A.

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Q: (4r + 5)2 2 dr + tan r-y = Cos z

A: Given differential equation is 2dydx+tan x·y=(4x+5)2cos xy3

Q: Use the double-angle formula for cosine to compute cos(20) given cos( os(0) = where 0 <0<. 79 90

A: Given.

Q: Suppose cos 0 : and 풍 <θ<ㅠ .Find he exact value of tan 0 .

A: Given,            cosθ=-25 and π2&lt;θ&lt;π.

Q: .  If tan(t)≈2.7, tan(t)≈2.7, and sin(t)≈0.94, sin(t)≈0.94, find cos(t).

A: For right angle triangle containing base, altitude, hypotenuse and angle x. Tan x = altitude / base…