1) Simplify each of the following trigonometriclexpressions sin x+tan x a) b) cos'x + sin'x cos x tan x

Q: 3. Prove the following trigonometric identities. (- 1 -- sin x tan x = cos x. cos x a)

A: I am attaching image so that you understand each and every step.

Q: 18. Use periodicity to express sec in p given that sin

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Q: Prove the identity. cosx sin (x+y) – sinx cos (x+y) = sin y %3D

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Q: (a) Buktikan, Prove that, (sin x + cos x)* = sin" 2x + 2 sin 2x + 1. %3D

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: lim, 0 tan² (7x) cot(11x) (r+7)sinx

A: Given: It is given that the limit is limx→0tan27xcot11xx+72sin x. To find: The main aim is to find…

Q: Give an example of a value of z such that the equation sin(x ) = z is unsolvable.

A: We have to give an example of a value of z such that the equation sinx=z is unsolvable.

Q: 5л Find the area bounded by the trigonometric curves y=sinx and y=cosx from x= to 3.459 square units…

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Q: 3. Prove the identity of tan x + cot x = csc x sec x. Work on the left side.

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Q: 5. Verify the identity: sin(x- y)cos y+cos(x– y)sin y = sin x

A: Explanation of the solution is given below.....

Q: Q4: Prove that: (1- sin x)(1 + cscx) = cos x* cot x %3D

A: To Prove1−sinx1+cscx=cosx×cotx

Q: Let cos x = 1/3+z and cos x lies below then x-axis. Find sin(2x), cos(2x) and tan(2x).

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

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Q: DO NOT include spaces in between characters. 2 and csc 0 <0, find sin 20. 3 Let cos 0

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Q: Establish the identity. sin x+ sin y X+y = tan COS X+ COs y 2.

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Q: Prove the identity. sin(x+y) sinx + cos(x+y) cosx = cosy

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Q: 1) Prove that sin 0 tan 0 + cos 0 = sec 0.

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Q: Show that x² + 1 cos{arctan[sin(arccot x)]} = V x² + 2

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Q: sinx + 1-cotx cosx sinx + cosx 1-tanx

A: We have to prove the given identity: cosx1-tanx+sinx1-cotx=sinx+cosx

Q: Prove the trigonometric identity. tan t cot z sec z

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Q: 3. Prove that the identity is true. sin*t - costt tan-t– 1 cos't

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

Q: E prove that = - Cotx + C %3D 1- Cosx +Sin'x

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Q: The value of the expression cos z - tan z – 9+ sin z+ secz is

A: given expression is…

Q: 1- cos 2x 1 a) sin 2x cot x

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Q: Evaluate et sin z cos z dr I COS using Simpson rule with h 20

A: Simpson rule  ∫abf(x)dx=h3f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x4)+⋯+4f(xn-3)+2f(xn-2)+4f(xn-1)+f(xn) Where…

Q: Prove the identity. cosx sin (x+y) – sinx cos (x+y)= siny

A: In question We have given two identities and we'll prove it, (i). Cos(π + x) = - Cosx  (ii). Cosx…

Q: If 1, = | x" sin x dx, prove that 1, = nx"-! evaluate -1,. sin x- x" cosx– n(n-1)I, 2. Hence, = NX…

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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: Show that cos( arctan( sin( arccot(x)))) = sqrt{{x^2+1}/{x^2+2}}

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Q: 24. arccsc ( csc D. 8 25. cot(cot-1(-10)) E. 4 rec-(- tan ) 26. sec-1 F. V95

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

A: We know that secx is the inverse of cosx and tanx=sinxcosx the objective is to prove the…

Q: Find all values of x in the interval [0, 27] that satisfy the equation sin x sin x tan x

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Q: 2- Prove that: sin(z + w) = sin z cos w + cos z sin w %3D

A: sin(z+w) = sinz cosw + cosz sinw R.H.S  By multiplying 2 from numerator and denominator 1/2 (2sinz…

Q: HW /Prove that: (1) tanx=cot

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

Q: 41 Prove al tanx + cosx= Sin X (sec x+ Cot x) メ b) Cos 2 ttan' t= Sin? t es Cos? (tan"x+ 1 = 1 %3D

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

Q: 7. Evaluate Arc cos(j2).

A: It is principal value.

Q: the exprression csc x/sec x  is equivalent to: 1.  sin x 2. cos x 3. tan x 4. cot x

A: *to find:-  csc x/sec x = ?

Q: DO NOT include spaces in between characters. * and csc 0 <0, find sin 20. 3 Let cos e

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Q: Q4) Prove that 1- Cos +x) = sin x, 2- (sin x +cos x) sec x see' x

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Q: Simplify sin “ z – cos“ æ O 2cos (x) - 1 O 2sin*(x) - 1 O 1+ 2sin*(x) O 1+ 2cos (x)

A: Using trigonometric identities.

Q: { 0, 1, sin’t, cos t, cos 2t } COS a cubcnnco? Juctifu vour

A: This is a question of linear algebra and vector space.

Q: Show that: cos hz = cos hx cos y + i sin hx sin y.

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Q: 1. tan x csc x-secx cot x sin x-cos x sin x cos x

A: This is a problem related to trigonometric formula. General formula which use for solving 1 problem…

Q: Show that tan(arccosx) for |x| s 1, x + 0.

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Q: Find z where z = sin (æ²) cos (4²) COS

A: The given function is z=sinx2 cosy2.

Q: Verify the trigonometric identity sin(z - 1/2) = - cos(z)

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

A: Solve the integration

Q: 14) Show that Cos e= 1- Sino COs o : |-Sinie

A: Given, cos2θ = 1-sin2θ We have to show that.

Q: (3) Prove that Sina cos a -Sinß cos B sin cos B sinß cosy sin(2+ B+y)

A: We have have to solve given problem:

Q: Prove that 2 Sin X dx 1 + cotx + cos x It tan X cos 2 x

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