5. LET LN [e (2 TANX)] = LN 1. SOLVE FOR X, ON [ 0, 2*PI). 6. PROVE THE IDENTITY: ( SEC 2 A)* ( COT 2 A) = CSC2 (A)

Q: S sin? (x)cos(x)dx

A: Let the given integral be y - y = ∫sin2(x)cos(x)dxLett = sinxdtdx = cosxdt = cosxdxSubstituting…

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A: Given:Given that,sin(x)=14 where 0&lt;x&lt;π2To find:1) we have to find the value of x2)…

Q: If cos x = 0.62 and P(x/2) is in QII, then cos(x/2) is equal to?

A:

Q: ܤܡܪܝܢ ܐ 2 6. The value of [sin' xdx is 0

A:

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E)…

A:

Q: If cosecant(x)=8, for 90 degrees&lt;(x)&lt;180 degrees, then what is sine(x/2), cosine(x/2), and…

A:

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A: Integration is the process of finding the anti-derivative of the given function. The integration of…

Q: Calculate the following. a. sin cos" (-) c. tan-(1)

A: To calculate the following trigonometric values of the functions.

Q: 2. Find [cot (x)sin* (x)dx

A: First simplify then integrate

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A: The given equation is cos2xy=14. Calculate the first differentiation y' of the given equation at…

Q: cos x . lim. 20 2 sin²x

A: To find:-

Q: Let f(x)=hx  and   g(x)= hsin^2x a. Evaluate f(tan2pi) b. Solve h1/2=hcos^2x  exactly for x in the…

A: Given functions are a) We know that tan2pi=0 Therefore,

Q: 3 sin x y = [cot-1(품

A: Explanation of the answer is as follows

Q: Evaluate

A: b) Given sinπ6π6=π6×180ππ6=30°sinπ6=sin30°sin(π6)=12

Q: Given that sin-(x) = a and cos-(x) = B show that sin(a + B) = 1. %3D

A:

Q: The value of i log (x -i) + i? n + i³ log (x + i) + i* (2 tan-'x) where x > 0 and i = Fis

A: Introduction :

Q: sin (r) -dr. R nvoke to integrate even powe

A: An integral is given by, I = ∫Rsin2xx2dx. The objective is to evaluate and state the identities that…

Q: 8. If tan x = 3, the numerical value of vcscx is (A) 0.32 (B) 0,97 (C) 1.03 (D) 1.78 (E) 3.16

A: Given: tanx=3 we know that cosec2x=1+cot2x

Q: If csc(x)=8, for 90 degrees&lt;(x)&lt;180 degrees, then what is sine(x/20, cos(x/2), and tan(x/2)?

A:

Q: Find L{sin(2t)} Note: L{sin(bt)} In this example b = 2

A: We will put b = 2 and use the formula given,

Q: f(?) = (? − cos(?)) sin(?)

A:

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A: To find: The value of ∫cos4x·dx. Given: The integration is ∫cosnx·dx=sin x·cosn-1xn+n-1n∫cosn-2x·dx…

Q: Solve sin 2x = - sin x for the interval x E [0, 31].

A:

Q: Differentiate y = (sin x)e A. (sin x)e (cot x- 2ln sinx) B. (sin x)e (cot x – In sinx) C. (sin x)e…

A: To find the derivative.

Q: [(csc 2x log tan x) + (sin 3x cos 3x)]dx

A: Given  The integration is ∫-π6π4csc(2xlog(tan x) +(sin 3x cos 3x)  dx

Q: s (x) In (1t x2) 74.8

A: