n(x-) = A cos x, then the number A is equal to . А. л B." С.О D. -1

Q: If f(x)= 2ax tanx + b In(cosx) and f'(x)=5 tanx +4xsec?x, then the values of the constants a and b…

A:

Q: Suppose that x = cos 0 . Find an expression for sin 0 in terms of a 9 4 z2 6,

A:

Q: tan e de (1+ In cos ele

A:

Q: Cos x = Cos" x 1-

A: In this question we have to prove cosx=cos-1x.

Q: Q4:B/Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40]³[cos 20-i sin2015 using De…

A:

Q: Q1/ Show that 3(sinx-cosx)*+6(sinx + cosx)²+4 (sinºx+cos°x) = 13

A: Note: We are entitled to solve only one question at a time. To Show:…

Q: 5. Show that cos (sin 2x) + sin (cos-1 2x) = (V2-2x)(VZ+2x) -

A:

Q: Find sin 2x, cos 2x, and tan 2x if sin x - and x terminates in quadrant II- sin 2x %3D cos 2x %3D…

A: Use the fact that in second quadrant cos and tan are negative.

Q: 7. Show that sin E + x) = G+x): = -cosx.

A: Introduction :

Q: s if 0 < x <277 -cos 2xsin x

A:

Q: Differentiate implicitly cos(x³y³) = 9

A: Given,         cosx3y3=9

Q: Approximate all solutions to 8.cos(x)2 –6.cos(x)+1 in the interval [0°,360°) X= degrees Round your…

A: The given equation is quadratic in cosx.

Q: EX-15- Prove that : a) Sec-'x= Cos- ! b) Sin-' (-x)=-Sin-'x

A:

Q: Verify the identity sec-1 x = cos-1(1/x), for x ≠ 0.

A: According to the question, we have to verify the identity sec-1x=cos-11x. As the above function is…

Q: EX/Show that cos"x (1+ cos2x)

A:

Q: Obtain graphically an approximate value of the lowest root of cos x cosh x =- 1.

A: The equation cosxcoshx=-1 regulates the frequency of vibration of a cantilever. We must first…

Q: Suppose cos x = - , where n < x < * . Find the exact value of cos(x – 4) . COS

A: cos(A-B)=cos A cos B+ sin A sin B

Q: Since the functions y cos(x) and y -1 = cos are inverse functions, explain why COS (cos(-)) is not…

A: use the range of arc cosx to find the values

Q: 2 cos(5x) – 5 x² – 2 lim sin(3x) – x² – 3x - - (Write your answer in the given box)

A: We will use L'Hopital rule

Q: A = -, find sin 2. If 90° <0 < 180° and cos 0 :

A:

Q: Express 2 sinx- v2 cos x in the form of Rsin(x – a), w

A: Given expression is   2 sinx -2 cosx

Q: Use th Start! 1- cos 2x

A: Given:1-cos2x/cos2x To simplify we use some trigonometric properties

Q: If tanh(x)=5/13, what is the sinh(x)?

A: Answer is sinhx=5/12. Explanation is given below..

Q: Solve 4 tan x * cos^2 x = 1 for 0 ^ 0

A:

Q: Find the first four nonzero terms in a 6y"-(cos x)y'-y = 0; y y(x) = +... (Type an expression that…

A:

Q: 7. Integrate. S tan50 sec³0d0

A:

Q: Evaluate. de (sin(5x – 1)] cos(5æ – 1) 5 - sin(5æ – 1) 5 · cos(5æ – 1) • 5· cos(x)

A:

Q: 4. Prove that cos(sin¬1 x) = /1 – x².

A: cos(sin-1x)=1-x2⇒sin-1x=cos-1(1-x2)Let y=sin-1x                               (1) ⇒siny=x…

Q: If x=37° and y=44° calculate the value of sin²x + 2cosy

A: Given,                                              sin²x + 2cosy…

Q: verify sin2(x)+cos2(x)=1

A:

Q: At what points do the local and absolute extreme values of the function (x) = 2 cos x- x^2 occur on…

A: We have to solve given problem:

Q: Evaluate: tan( 4x- -In |cos (4x + 3)|+C B -In |sin(4x + 3)|+C -In |cse (4x + 3)|+C -In \sec (4x +…

A: the given integral,        ∫tan(4x+3) dx

Q: If cos(x) = - and sin(y) = - with tan(x) > 0 and cos(y) < 0, algebraically compute the exact value…

A:

Q: if / 2³3 rsin rda -x³ cos x + 3x² sin x + 6x cos x Oxsin x O cos x sin x X COS X = 6 ƒ ƒ(x)dx, then…

A:

Q: 12. sin 2t – tan t = tant cos 2t - HINT: You will use a reciprocal identity.

A: use the formula

Q: 4 dx 1– cos(4x)

A: We to evaluate the integral ∫4 dx1 - cos 4x

Q: Use Simpson's rule with n = 4 to approximate /" cos(2) -dr

A: Given: ∫16cosxxdx Here a=1, b=6 and n=4  h=b-an∆x=6-14∆x=54∆x=54

Q: Show that cos(arcsinx) Vi - x², for x| s lin two different ways.

A: Show that cosarcsin(x)=1-x2, for x≤1

Q: Show that sin²(x) cos(x) = sec(x) – cos(x)

A: We need to show the following. So,         Manipulating right side=secx-cosx=1-cos2xcosx=sin2xcosx

Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D…

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute :…

Q: sin(x - ) = -COS X 2

A:

Q: E prove that - Cotx + C 2 |- Cosx +Sinx

A: Solve the integration

Q: Show that, for real values of x, 3 sin x f(x) 2 + cos x cannot have a value greater than 3 or a…

A: To show that the minimum and maximum value of the function is -√3 and √3

Q: Find sin (x- π/2) if cos x=0.65

A: On solving this we will get

Q: Show that 4 sin x cos 2x + 3 = 8 cos %3D x.

A: We will use the formula of cos 2x and other formulas of trigonometry to prove left hand side is…

Q: is it right to say cos (60o-30o) = cos60o .cos 30o+ sin60o.sin30o?

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

Q: Differentiate  cos(t^2 - 6)

A: Given: cost2-6

Q: Show that 1 − cos x = x2/2 with an error less than 0.003 for |x| &lt; 1/2.

A: Given: 1-cos x =x22;    |error|&lt;0.003Formula:  The…

Q: If cos x= - cos 50° by 0° ≤ x≤ 360°. The value of x is...

A: