Decide on the following statement, where α and β denotes angles, is true or false: 270∘≤α<β≤360∘⟹cos(α)<cos(β)

Q: Evaluate sin x dx 1.) S 5-cos x

A: Given that the integral  I=∫sin x5 - cos2 xdx To evaluate the integral

Q: cos 2x If y = find y" when x = n: a) -1 b) o c) 1 d) v2

A: The given value of y is, y=cos2x4

Q: Suppose v. w = 6 and ||7× w|| = 4, and the angle between ỹ and w is 0. Find (a) tan 0 = (b) Ө —

A: v · w= |v| × |w| × cos(θ) =6 v × w = |v| |w| sin(θ) =4

Q: B. If sin u = tan u < 0, find : 1. sin u/2 2. cos u/2 3. tan u/2

A: Given that, sinu=tanu&lt;0

Q: If x=(-5, 2, 1) and vw=2, find tan(e), where is the angle between v and w. tan(0) =

A:

Q: tan 8 cot e dw For the function w= 1- cot e 1-tan e obtain de when 6= -87 degrees. А) 364.09 (в)…

A: Given:    w=tanθ1-cotθ+cotθ1-tanθ differentiating on both sides     dwdθ=ddθtanθ1-cotθ+cotθ1-tanθ…

Q: If 0 is a first quadrant angle where P(u, v) = (-1, -2), tan 0: 5 + V5 - V5 5 - 5 - V5 5 + V5 5 - V5…

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Q: Given the following sign chart: -2 f' + + f" + 3 + What conclusion can you draw? Hint: there should…

A: From the sign changes of the first derivative, it can be seen that x=−2,x=12,x=3 are the critical…

Q: Suppose = 4 and || × || = 3, and the angle between and wis 0. Find (a) tan 0 (b) 0 = =

A:

Q: = Prove, for any angle x, Cos (sin¯' (x)) = /1 – x². %3|

A: Let sin-1x=θ Then, x=sinθ As sinθ=Perpenicular Hypotenuse=x1

Q: Q1: find dx of the following statement: a) y = cos? sec

A:

Q: Suppose i· w 7 and ||i x w|| = 4, and the angle between v and w is 0. Find (a) tan 0 = (b) 0 =

A: Given that: v.w = 7 for dot product we know that: v.w = |v|*|w|*cos  |v|*|w|*cos  = 7 Given that:…

Q: ch of the following angles is part of the domain of tan(x), but is not of the domain of sec(x)? t/2…

A: We have see that in given option  tan is not define at π/2,3π/2 so these point are not in domain…

Q: If Ax) = cos (x), find " A /2 B-1

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Q: do For the function ♡=tan -14 1E-in(r2 +µ²), determine the value of d (degrees) when H = 3 and T=…

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Q: Suppose - w = 5 and ||i x u|| = 2, and the angle between i and w is 0. Find %3| (a) tan 0 (b) e

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Q: Q: Prove that : sin' ne -de = na for all n e N. sin' e

A: solution is given below

Q: Suppose that someone gives you an angle a (alpha) which lies in the first quadrant such that cos(a)…

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Q: Find for the following functions: - dx 1) y = (cos x)V 2) y = sin x* + e!nx 3) y = 7cos/2x+3

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Q: Given that sin(a) = 315 3 and that ≤a ≤ 2π, find: 2 sin(2a)

A: Formula of the trigonometric identities