Use Figure 7 to prove that (cos- x)': V1 x2 1 V1-x y FIGURE 7 Right triangle with y = cos- x. %3D

Q: cos sin-cos -d0

A:

Q: Explain how to find ∫ cos15 x dx without actually integrating.

A:

Q: Give the degree of 0 = tan-(-V3) if it exists. measure %3D

A: topic - inverse trigonometric ratios

Q: Q4:B/Simplify [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's theorem?

A:

Q: snip

A:

Q: Q5. If coshx = csc20, prove that 0 = n+ cothe¯. [Hint: use identity sin(2a + 2n)] %3D

A: given that                                                                             coshx=csc2θ…

Q: Differentiate. y = In Sin x  - 1/2Sin2 x

A:

Q: 0 = µ sin 0 – sin 20

A:

Q: find the four non zero terms in the maclaurin serise for sin h-lx

A: Formula Used: We will need following binomial expansion:

Q: Let y = cos(arcsin 8x). Rewrite it as y = cos 0, where 0 = arcsin

A: y=cos(arcsin (8x))   ------------equation 1now y=cosθ  -----------------equation 2by comparing…

Q: tan 0 de equals to : 1+sece In |1+tane|+c In |1+sece|+c O (tane)^2/2+c -In |1+cose|+c

A:

Q: find the value of cE CoB] for flx)= that satisfy value theorem. mean

A:

Q: Prove the trigometr 1-Cos (o) Secco) I +seclo) Sina co)

A:

Q: By using the relationship between the hyperbolic sine function and its Ssinh- (x)] = V. inverse,…

A:

Q: If sinx+cosx=k, for what value(s) of k does sinx cosx=1

A:

Q: If y=sin(sinx) show that y''+(tan x) y'cos2x=0

A:

Q: Prove a (cosa + cosß) + (sina + sinß) = 4cos² (@ - B) 2 %3D

A:

Q: Determine the amplitude of y = 1/2 sin x. Then graph y = sin x and y = 1/2sin x for 0 ≤ x ≤ 2p.

A: Given y=12sinx

Q: find y" (second derivetive) of the function y = cos(2x) 3 - 2 sin²(x) and find the inflection point

A:

Q: Write the equation of the line tangent to the graph of r : 4 cos 0 when 0 = ". %3D %3D

A:

Q: 2) Verify that the equation is an Identity. tan 0 = sin 0 %3D sec 0

A:

Q: Find the equation of a sine wave that is obtained by shifting the graph of y=sin(x) to the right 2…

A: The general equation that should be formmed is as follows:           y-A = Bsin(x-C)   where, A…

Q: Evaluate cos x -2 sinx sin 2x dx Round to 4 decimal places.

A:

Q: Determine the value of  tanz if sinz + cos z=0.2 and pi>z<pi/2

A:

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

A:

Q: Verify. esc (x) [I-cos(2x)] = 2 sin (x) SC

A:

Q: (a) Show that tan x = dx sec?x using quotient rule.

A:

Q: tanla= 2 with 3T LaL2p 3 2 and Sin lb) = 3 with IT L6LT 2. %3D

A: Solution:-  tana=-23   with 3π2&lt;a&lt;2π (fourth quadrant) sinb=34 with    π2&lt;b&lt;π   (second…

Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

A:

Q: Let sinx =where sxs. Determine the value of: 5 (a) cos x (b) tan x

A: Trigonometric functions are real functions which relate an angle of a right angled triangle to…

Q: 10. tan'x sec x dx

A: Given query is to find the value of the integral.

Q: What is the period of f(x) = sin(3Ħx – 4) + 2? %3D

A: For a given function: Time period (T) =        2(PI)     _        w(omega) Whereas addition of DC…

Q: Find x so that sin 3x + 10 cos x+ %3D

A: Here we have to find the value of x. The solution is following.

Q: Jz sin 0 do 2

A:

Q: Prove the identity. ex(1- sin'x) = So cosx | %3D

A: Prove the identity- Secx(1 - sin2x) = cosx. We know that : sin2x + cos2x = 1 Here i attached…

Q: Find a series of cosines of multiples of x which will represent (x sinx ) in the interval (O, x) and…

A: Let's expand x cos(x ) , xcosx=x1-x22!+x44!-x66!+...=x-x32!+x54!-x76!+...             in 0,x To show…

Q: determine the value of sin^2 x + cos^2 x for x =10 degrees

A: Given x= 10 degrees By trigonometric formula we know that , sin2(x)+cos2(x)=1 where x∈-∞,∞

Q: Prove that csc2A tan(2A) = 2cosA/cos(2A)sinA

A:

Q: do f() dr where f() = - sin o + sin o cos o = sin ø(y cos o- 1).

A: Given dϕdr=fϕwhere fϕ=-sinϕ+γsinϕcosϕ=sinϕγcosϕ-1

Q: Use the addition formulas to deriv TT 31. cos(x - sin x 2

A: Prove that cos( x  - π/2 ) = sinx Here we use general formula : cos( A - B ) = cosA×cosB + sinA×…

Q: Find cos(2x) Given that sinx= 4/5 and 0&lt;x≤ pi/2

A:

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: Ax) = / 3 sinx – cosx

A:

Q: Evaluate: cos³x dx sinx I =

A: We know that : sin2x + cos2x =1. we know that integration of xn = xn+1/ n+1 We use all of  this to…

Q: v in the quadrant IV COS (U+V)=

A: we have to find the exact value of cos(u + v) given that sin u=-3/5 with u in quadrant III, and sin…

Q: Use the Substitution Rule to prove that∫sin2ax dx =(x/2) -(sin(2ax)/4a )+ C

A: Given:∫ sin2 ax dx

Q: An object moves such that its velocity in meters per second is given by v(t) = cos t. What is its…

A: