sin (x-b) If it is known that sin (b) = - 1, It is equivalent to 1+tan²(x)' O a) cos (x) Ob) – cos (x) O c) sen (x) cos(x) O d) –sen (x) cos(x)

Q: 3. cos x +sin x- cos(2x) sin(2x), cos(3x), 4 8. ...

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Q: cos x-2 cos 3x + cos 5x b. cos x +2 cos 3x + cos 5x :-tan x. %3D

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Q: cos x-cos(5x) Prove identity: tan(2x) sin x+sin(5x)

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Q: If tan x = -1/3, cos x > 0,, then | sin 2x -6 cos 2x -1 tan 2x -3/4

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Q: 1. If tan x = 2 then tan( - x) : %3D 2. If sin x = 0.7 then sin( – x) 3. If cos x = 0.7 then cos( –…

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Q: sin(2x) cos(2x) Prove sec(x) sin(x) cos(x)

A: Trigonometry

Q: 2 tan x sin 2x 6.) 1+tan² x

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Q: sin(3x) cos(6x) – cos(3x) sin(6x) = -0.6 X =

A: There is trigonometric identity sinA-B= sinAcosB-cosAsinB

Q: Prove the Identity

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Q: 1-cos(2x) sin²(3x) tan x-sin x Evaluate: a- limr-0* b- lim sin³x

A: (a) Given, Simply fie the above expression, On applying the limit, the solution is in 0/0 format.…

Q: lim cos2x-1/sinx x-> 0

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Q: 2- tana 1. If Sin(x+ a)= 2Cos(x-a); prove that: tan x = 1-2 tana 2 If Siu

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Q: sinx=-3/5, pi<x<3pi/2, and cosB=5/13, 3pi/2<B<2pi, find cos(x-B)

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Q: cos(x1)=-1/3 sin(x2)=2/3 find 1. sin(x1+x2) 2. cos(x1+x2) 3.sin(x1-x2) 4.cos(x1-x2)

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Q: cos 2x - 2 sin x- cosʻx=-3

A: Consider cos 2x-2 sin x-cos2 x=-3  . . . . . (1) We have cos 2x=2 cos2 x-1 . . . .  . . (2)

Q: 1- cos () 1- cos(x) 1- sin°(;) 1+ cos(x)

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Q: Show that sin(x)  can be approximated by x-x3/6  within 0.01 on the interval [-1,1].

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Q: VERIFY THE IDENTITY

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Q: 11) cos x csc X tan x - 1 11) 12) cos2x - sin2x = 1 - 2 sin²x 12)

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Q: 1. If tan x = -3 then tan (-x) =  2. If sin x = 0.3 then sin (-x) = 3. If cos x = 0.2 then cos (-x)…

A: Answer 1. We know that  sin(-x)=- sinx and cos(-x)= cos x  tan x= sin xcos xHence  tan (-x)= sin(-…

Q: 1-Cos 2x 1+ Cos 2x ix) tan x=

A: Prove :

Q: - sin sin -y = sin (x+y) Prove that cos Xcos 4 -y 4 -x sin 4 X - 4

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Q: Example 2: find ỹ,y=sin-1 Vx.sec-1 (sin x) Example 1: find ỹ,y=tan-1(x². sin x) Example 3: prove…

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Q: √3 csc x − 2 = 0  tan 3x(tan x − 1)  sin2 x = 3 cos2 x

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Q: sin x= 6/7, cos > 0, sin y = -1/5, and cos y < 0 How do I find sin(x + y), cos(x + y), and tan(x +…

A: Given that  sinx=67, cosx&gt;0,siny=-15and cosy&lt;0. We know that…

Q: ✓cos x lim x 0 1 cos x - -

A: The given limit is limx→01-cosx1-cosx

Q: 1. sin x sin 2x + cos x cos 2x = COS X

A:

Q: tan x csc x-tan x sin x tan +cos x cos? Prove = COS s“ x csc x Show all work to receive credit

A: We have to prove

Q: * tan°(x) cos“(x) 1 tan7(x) 1 tan (x) O tan7(x),

A:

Q: 1) f(x) = x5-x¹ + x² - x +² 2) f(x) = sin³x - e³x² + ln(1 + 5x²) 3) f(x)=√1-x² sin-¹ x 4) f(x)=√√x +…

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Q: rove the identity. sin(3x)/sin(x)cos(x)=4cos(x)-sec(x)

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Q: cos4x - sin4x = cos 2 x 2 cos 2 x -cos 2 x

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Q: sin^2 x + sin x cos x over cos x − 2 cos^3 x

A: This question is based on Trigonometric Formulas to simplify question.

Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

A: Note: As per company guidelines we solve only first three subparts when multiple parts question…

Q: VERIFY THE IDENTITY

A: By half angle formula , we have

Q: cos x – 1.75 = -1 COS X sin(4x) = 2 – sin 4x 4 tan(2x) – 1 = 3

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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: sin x+ tan x sin (2x) 5. Determine the non-permissible values of the identity 1+ cos x 2 cos x Cos3x…

A: Solve using properties trigonometric identities

Q: COs x + sinx COS x - Sln x - sin = 2 tan 2x %3D Cos x- sin x COS x + sin x

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Q: tan x= -4 and sin x is negative

A: Here tanx=-4we know trigonometric identity,sec2x=1+tan2xsec x=±1+tan2xsec x=±1+(-4)2sec…

Q: sin 2x +sin 8x/cos 2x + cos8x =tan5x. Prove the identity

A: We start with left side. And we use sinA+sinB = 2sin((A+B)/2)cos((A-B)/2) and…

Q: sin(5x)+ sin(3x) tan(4x)= cos(3x)+ cos(5x)

A: We have to prove the identity

Q: Verify the identity: cos x/(1 - sin x) + (1 - sin x)/cos x = 2 sec x

A: The given identity is cosx1-sinx+1-sinxcosx=2secx

Q: sinx + sin 2 Evaluate | cosx A. -In cos x|– x+ C В. In'secx-x+ C C. -In|sec x|+ x+C D. In sec x|+x+C

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Q: 5.) cos (x -) + sin ( – x) = cos x cos (x -) + sin ( - x) = 3

A: Since multiple questions are asked, according to guidelines answering first question. Cos60 =1/2…

Q: Find sin(x/2) =  cos(x/2) =  tan(x/2) =  Given cos(x) = -24/25, 180 degrees < x < 270 degrees

A: topic - half angle values of trigonometric functions

Q: Solve over the interval [0,2pi)

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Q: sin x cos x tan x = 1 – cos² x -

A: