dx 5. Evaluate the following tanº(x) cos4(x) tan'(x) [7tan²(x) +9] + C 36 tan(x) + =tan(x) + C sin(x)sec⁹(x) [7sin²(x) +9cos²(x)] + C 63 tan(x)-tan(x) + C A. B. C. D.

Q: x2 In solving for the antiderivative of f(x) = (9 – x2)32 using trigonometric substitution, Jf(x)dx…

A:

Q: Let f(2) = - 8 cos x + 9 tan e f (2) = (-) = C 4

A:

Q: Let f(x) = 8 cos x + 5 tan æ f'(x) =-8 sin(z) + cos(z)2 r(#) = 37 Find the exact trig values for…

A: Since, we have been given that f(x)=8 cos (x)+5 tan (x)Also, we have f'(x)=-8 sin (x)+5cos (x)2Our…

Q: S 1 dx = (x² + 1)(1 – sec(tan-1 x)) Select one: а. 1 -x + (sin(cos-1x)) b. 1 -tan(cot-1x) +…

A: Hence option (d) is correct .

Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

Q: 1 Differentiate y = tan 8x + cos ,x

A: Using differentiation rule,

Q: 1 Let f(x) = (5 sin x + 8 cos a)tan f'(x) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative use the product rule for…

Q: Let f(x) = 9 cos(cos x) f'(x) =

A: The given function is fx=-9coscosx. We know that if fx is a function then f'x if the derivative of…

Q: S sec" (0) tan" (0) do is u = tan(0)

A: Evaluate ∫sec10θ tan8θ dθ

Q: Let f(x) (8 sin x + 3 cos æ)tan-x f'(x) =

A:

Q: Let h(x) = tan(3x + 4). Then h' (2) is and h'' (2) is

A: The function is given by hx = tan3x+4 To evaluate: The values of h'2 and h''(2)

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: If cosx = -2/3 and tanx < 0, then sin(x)= tan(x)=

A:

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: B/ Find the value of 1. tan+e O 1 2 dx 2. tante

A:

Q: integrate (sin(x)*tan(x)-cos(x))/tan (x+1)

A:

Q: If f(x) = 3 tan-'(3 sin(3x)), f'(æ) =

A: The given function f(x)=3tan-13 sin(3x)

Q: If f(x) f'(æ) = cos x – 7 tan x, then

A:

Q: d (i) Show that (2 dx -1 X 3x x tan 3 = tan-1* 3 x2+9 V3 i) Hence evaluate (tan dx . 3

A:

Q: Let h(x) = tan(3x + 7). Then n'(5) is and h'"(5) is

A:

Q: Determine csc(x) + cot (x) if tan x + sec(x) = 22/7. 27/12; 29/15; 24/18; 23/11

A: We can answer the question by finding the correct option as below.

Q: [(2tan(x)/1+sec(x))+(2+2sec(x)/tan(x))]=4csc(x)

A: Consider the left hand side,

Q: 4) Verify. cos²(x)[1 C. – tan²(x)] = cos(2x)

A:

Q: 1+tanx b) 1-tanx = tan (x + ²)

A: