tan α = (a) sin (a + B) √3

Q: A-f cos (x)sin³(x)dx e*cosh (3x) B-J cosh(x)+sinh(x)

A: Here we use use substitution method to evaluate the given integral.

Q: sin (7π/6) + cos (3π/2)

A: Given,

Q: Differentiate the following function COS T 1 (a) sec(x) tan(x) (b) (c) sin (4x° + cos(x))

A:

Q: sin 2x 10. Simplify 1-cos x (a) 2cot x (1+ cos x) (b) sin 2x (1 + cos x) (c) sin 2x (d) – 2 tan x (1…

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Q: sin (x) – cos²(x) Show that 1 F COS %3D CSC (x)

A:

Q: Please find all 0 <0 < 2n, for which .. (a) tan () = v3 (b) 3 sin? (0) + 4 = 5 (c) 2 cos(ln(x² + e*)…

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Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: π/2 COS X 1 + sin² x dx

A:

Q: f(x) = 5 sin²(x) Hint: Use sin2(x) = -(1 – cos(2x))| %3D %3D n = 1 8.

A:

Q: π/4 IF ST/A tan (x) sec(x) dx = I, express the value of 。 π/4 tan (x) sec(x) dx in terms of I.

A: Given:- ∫0π4tan4xsecxdx=I

Q: csc(x)=3     0<x<pie/2  cos(x/2)=? sin(x/2)=? tan(x/2)=?

A: Given that: cscx=3,   0&lt;x&lt;π2

Q: 1 sin(x) (D²+1)³

A:

Q: n/4 1+sin x 7. So cos (x)

A: We will solve the following.

Q: Solve (tan x – V3) (2 sin x + 1) = 0 , where 0 < x < 2x .

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Q: a sin (cos X) b cos (cos x) c sin (sin x) d cos (sin x) a By expressingy = x in the form y = sin…

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Q: i) etan-¹x 12 1 + x² dx ii) ii) sin sin5 x dx

A: Solve the following

Q: S(csc x cot x + 8x")dx - sin x + x8 + c - sec x + x° + c CSc x + x° +c CSc x + x° +c - sec x + x° +c

A:

Q: (d) lim 1 - cos(x²) x0 x² sin² x

A: Plug in the value of x = 0