cos²x 6. 1+ sin x = 1- sinx tanx - сotx 7. sec'x - csc?x = sin xcosx 8.1 tin cos2x = cscx - secx tan0 + cot0 9. = cot0 sec20 1 = 1+ 1 10. cos-0 cor-e

Q: 4. y = 5 cos 4x, 3rd derivative 5. y = 3 tan 3x, 2nd derivative %3D 5. y = 6 csc x, 2nd derivative

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Q: Establish each identity.

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Q: 4) Simplifying the Trigonometric ldentity tanx cosx

A: Explanation of the answer is as follows

Q: c) cos x tan x = sin x tanx %3D (Usx.SinzL (os x Sinc sinx cot x + = csc x - CSC X 1+cos x (e Sinzx…

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Q: 1) tane = 2.6 2) cos0 = -0.65 3) csc(-0) = - 2 tan(-0) = cos(-0) = csce = 6. 4) sec(-0) = 3 &…

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Q: cotx(secx-cos x)

A: We have to find  cotx (secx - cosx) We know that ,  cotx = cosx/sinx secx = 1/cosx  Then ,

Q: siny=x^2 Then find the value of tany

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

Q: Cotx-tanx=cos(2x)/sin(x)cos(x)

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Q: Prove the Identity

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Q: 1. tanx cscx-secx cot x sinx-cosx = sin x cos x 1 2. cscx-cotx cscx+cotx tan x 3. costx - sin*x = 1…

A: sinx-cosxtanx.cosecx-secx.cotx=sinx.cosxLHS=sinx-cosxtanx.cosecx-secx.cotxConvert all term in to sin…

Q: solve (sinx)sec^2(x)+(cos x)cosec^2 (x)=0

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Q: 7x cos()-7x [sin(-2x)sin(5x)sin(7x)] – lim 2x cos(x) lim x-0 5x?

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

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

Q: 2. cotx = sin xsin π 2 --x+cos² x cotx

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Q: a) sin ) co () - c) tan 4) cot (- *) - ) me (- *) - sec

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

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Q: arctan(−1)= arccsc(csc(5π/2))= sec−1(−tan(3π/4))= tan(cos−1(−7/12))= sec−1(−1)=…

A: arc tan(-x) =-arc tan(x) arc csc(csc(x)) =x Note : According to our guideline, we can solve first…

Q: inx-cosx -= sin x cos x сх-sec x сot х 1 cotx cscx+cotx tanx < – sin*x = 1 – 2 sin² x cot x sin x…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: cos(sin−1(2/3))= cos(cos−1(−3/8))= cot(cot−1(−10))=

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Q: Verify the identity.

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Q: tanx+secx-1 1+sinx tanx-secxx+1 cosx

A: We have prove trigonometric identities tanx+secx-1tanx-secx+1=1+sinxcosx Left hand side:…

Q: Find y': y = cot 0 sin 0 O sin² 0 1-tan²0 O1+sin² 0 cos³0 O-1-cos² e sin³0 3

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Q: 1-cosx sinx B: Prove sinx 1+cosx 1-cosx C: Prove tan? 2 2 1+cosx

A: As per our guidelines we are supposed to answer only one or two question. Kindly repost other…

Q: Subject find derivatines of the first derivatives in volving differe and questients? 4 %3D COSX tanx…

A: Derivatives of function

Q: Find x where 0 ≤ x ≤ 2π. 4 cot²x = cos²x + sin²x - 1

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Q: 6. 1) cos sin 7 -1 2V5 3) csc cos -1 5) csc sin- 7) sec tan-1 V3 4/5

A: Answer of 1: Here the angle of cosine function is an inverse sine function.

Q: 7- I = [sec(2x) tan(2.x)dx cos(2x) 8- I = dx 4-sin (2x) csc (In(x)) 9. I: dx

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Q: Find sec2x if sin x = 6/10 and sec x < 0

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Q: Cosx 0 sinx 1. Solve for x: sinx 0. COSX sinx - cosx 1 sinx+cosX

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Q: 1+ cosx + sinx sinx 1+cos X 2sec x 2csc x 2csc 2x 2sec 2x

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Q: Prove (Start either from the LHS or the RHS but DO NOT work from both sides at the same tim 3. Prove…

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Q: 2 sin'x - cos x sin'x - (1 - sin'x) in*s) Rule ? %3D sin°x - 1 + sin´x Rule ? %3D = 2 sinx - 1 Rule…

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Q: 1 1. sec-1 x = cos-1 = cos

A: we have to show that the given relation.

Q: Find f'(x), if f(x)= tan² 4.x. Find f'(x), if f(x) = sin² 2x./cos 2x . Find f"(x), if f (x)= Inx+…

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Q: Find sin(x/2) =  cos(x/2) =  tan(x/2) =  Given tan(x) = 2sqrt2    0 degrees < x< 90 degrees

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Q: 1. sec x – tan x sin x = secx 1+cosx 2. = cscx + cotx sinx secosine 3. tan0+cot0 sin20 secß 4. tanß…

A: Here we prove the trigonometry equations.

Q: the slope of the tangent. line to: the graph of y=XT COSXY the point (0,1)? What is of: 4=XT COSメ

A: Given: y=x+cosxy

Q: tanx(1+cot^(2)x)=(1)/(cosxsinx

A: To prove tanx1+cot2x=1cosxsinx consider the left hand side  tanx1+cot2x=1cosxsinx we know that…

Q: 1- Sinx+ Sin'x 4 X. 2 1-Cosx+Costx 1- Sin'x (1- Sin²x) (x, 1-Cos'x (1-Cosx)

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Q: 1 + tan x 58. cosx tanx sinx - sin x

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Q: V3 1) tan 3 cos¯1 –1 -1 2) cos-1 | 3) sin- 0 4) tan-' (-V3) 5) tan- 6) sin- 7) cos 2 8) tan- –1

A: tan-133

Q: cos 2x-sin x 4. -(tan x +secx) %3D sin 2x - cos x

A: Given: prove that cos2x-sinxsin2x-cosx=-tanx+secx For verifying given expression, we solve left hand…

Q: 2) tan-l 1 Vz 4) sin-! 6) tan-1V3 8) tan-l 0 V3 10) sin-! V3 12) tan- 2. 2. 3.

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Q: -CSCX · COSX = -Cotx - 1 cosxsec2x = COSX 1 1 sec2 x+cot2 x csc2 x+tan2 x CScx 1+ cot2 x = sinx

A: NOTE: Refresh your page if you can't see any equations. .

Q: |- Sin X Cot X Cosx SinX -

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Q: Find exact function values for: a. sin(α/2) b. cos(α/2) c. tan (α/2) cosα = 12/13, (3π)/2 < α <…

A: The given trigonometric ratio is cosα=1213 ,where3π2&lt;α&lt;2π (a) To find the value of sinα2…

Q: Find the first derivative of y = (x – 1) √ (2x – x2) + arcsin (x – 1) and y = arctan [ (3 sin x) /…

A: y=(x – 1)(2x – x2)   +sin-1(x – 1) y'(x)=d(x – 1)2x – x2   +sin-1(x – 1)dx        =d(x – 1)2x – x2…

Q: Solve for x in the equation: arc tan (x + 1) + arc tan (x – 1) = arc tan (12)

A: