2. cscx-cotx csc x+cotx tan x 3. cosªx – sinax = 1 – 2 sin? x

Q: 5. tanx = sin'x %3D tanx + cotx

A: We use Trigonometry identities to solve  Question 5

Q: 8. Find the exact value. sin(tan¬1 x)

A: Convert tan-1x into sin-1x then calculate exact value

Q: tan x sec X 3 10 cos xdydx

A: Given : Double integral ∫0π/2∫0tan x sec x y3 cos10x dydx   To find : Evaluate the given double…

Q: Find sin x if cot x = -(√3)/2 and cos x

A:

Q: If y=sin 2x sin 3x sin 4x then find y''

A:

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

A:

Q: Simplify: cosx sec x – cos² x O cos² x sec x sin x

A:

Q: Sec (Cosx) dydx 1- Sin

A:

Q: Differentiate  (sin(x+a)/cosx)

A:

Q: inetgrate sin^2(x)csc^2(2x)

A: Given: Let I=∫sin2xcsc22xdx To Find: To integrate the given integration.

Q: csc 2x - cot 2x = 1

A:

Q: | (cos(3x) sin(x) – sin(3x) sin(x)) dæ

A:

Q: Simplify. sin 2x · cos 3x – cos 2x · sin 3x

A:

Q: value of cos x is given. Find sin x and 3T xET, 15 X= 17'

A:

Q: The simplified form of [csc(-x) +cos(-x)] - [10 sin² r sec²z]

A:

Q: cotx (1- cos 2x) = sin 2x

A: Formulae used: 2sinx cosx = sin2x cotx = cosxsinx cos2x = 1-sin2x

Q: cos(sin−1(x) − tan−1(y))

A: Important points:  cos(A + B) = cos A. cos B - sin A. sin B sin(sin-1x) = xcos(cos-1x) =…

Q: lim, 20 sin5x.cot2x = ?

A:

Q: tan( sin " + cos") - %3D

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

Q: 7. csc'x - cotx + tan'x CoSx - sin?xcosx

A:

Q: (³² sin æcosx tan³ xcot³ x sec xcscx dx

A:

Q: 2- tan²x + 1 + tanx secx = 1+sinx cos²x

A: To show that , tan2x+1+tanx.secx=1+sinxcos2x

Q: Find sin x if sin x – cos x x = 3 sec x

A: Consider the given trigonometric expression, sinx-cosx=13 now square both side of the equation,…

Q: COs 2x cotx x – tanx %3D sinx · cOsx

A:

Q: Show that (sec x) = sec x tan x. dx Note: You may assume it is known that (sin x) = cos x and :(cos…

A:

Q: 1- Sin'x = cos1-x?

A:

Q: 1-sin' x 3D sin.x 6. cosxcotx

A:

Q: 4л coS 씀Cos 즙Cs -sin sin 15 15 15

A: We have to find the exact value cosπ15cos4π15-sinπ15sin4π15.

Q: 1. Find tanx and sinx if secx = 4 and sinx < 0

A: Authoring guidelines:…

Q: 9. tanx + secx = COSX 1- sinx

A: tanx+secx=cosx1-sinxsinxcosx+1cosx=cosx1-sinx1+sinxcosx=cosx1-sinx1+sinxcosx=cosx1-sinx×1+sinx1+sinx…

Q: 3. sinx tan x + cos x

A: We can simplify the expression as below.

Q: sec : tan/ sin :: cos :

A: As we know cos and sec are reciprocal of each other.  Therefore sec:tan/sin Then cos:sin/tan

Q: Find sin X os X

A:

Q: If y = sin 2x sin 3x sin 4x then find y".

A:

Q: 1-cos2.x sin 2.x : tanx

A: Given- 1-cos2xsin2x : tanx To Simplify- The above expression. Formula Used- cos2x=1-2sin2x and…

Q: Sc sinx te Cos

A: Given: The integral ∫cos22x sinx dx To evaluate: The given integral.

Q: If cosx = -* and tan x> 0, the value of sinx is

A:

Q: Differentiate sin x? +1

A: According to the question,  We need to differentiate the function,  Function: sin x2 +1

Q: Solve cos ( tanx) = sin cot! 3 4

A:

Q: Prove (cosa + cosB) + (sina + sinß)° = 4cos²- « - B) %3D

A: Prove this equation by using some trigonometry identity

Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: -2 ' = cot (sinx') 3 3 Find (y') xsec x %3B

A: Given, y=cotsinx3

Q: 8. If sin x- cos x = 3, find sin x sec x

A: given: sinx-cosx=13 to find: sinxsecx

Q: • tan xcos x = cotx %3D cScx • (1- sinx)[1+ sin(-x)] = •csc?x - cot2x =

A: We need to simplify the given trigonometric expressions.

Q: What is tan x if csc x = -V34/3 and cos x < O? * V34 CSC X =

A: Given, cscx=-343 sinx=1cscx=-334 we know, sin2x+cos2x=1 934+cos2x=1cosx=2534=-534

Q: cos?x-sin²x cotx-1 e) tanx + tanx f) cos²x+sinxcosx sinxcosx cotx

A:

Q: Find sin 0 and tan 0 if the terminal side of 0 lies along the line y = -7x in QII. sin 0 = tan 0:

A: Given that terminal side of ϑ lies along the line y = -7x. Note that the slope of the line y = -7x…

Q: lin tan 5x メ→o Sin子X

A:

Q: Verify identity cot x sec x sin x = 1.

A: Verify: cotxsecxsinx=1