4) Simplifying the Trigonometric ldentity tanx cosx

Q: 8 Verify the iclantity (sin @ +are) = / + Sin2

A: You have posted multiple Questions, as per our company guidelines we can solve only one, So I am…

Q: 4. To integrate using trigonometric substitution the functio dx -2x we let x = sec 8 - 2

A: Given indefinite integral is ∫dxx2+2x We can solve by using the trigonometric substitution. Given…

Q: verify the trigonometric identites 2-cos2 x/sinx= cscx +sinx

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Q: 2. Find cos x and cot x if sin x = 1/4 and tan x< 0.

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Q: 7. csc'x- cot'x + tan²x cosx - sin?xcosx

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Q: Write cos(arcsin 3x + arccos x) as an algebraic expression of x that does not involve trigonometric…

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Q: 1 Show that +. cos a sina 1 + cosa 1 + cosa

A: To proof: ±1-cosα1+cosα=sinα1+cosα

Q: if cosx=tany,cosy=tanz,cosz=tanx ,then find sinx

A: Given,

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

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Q: Find all exact solutions to the equation arcsin(2x)+arccos(x) 6 X=

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Q: Solve sin(cot" x)

A: We have           sinsin-1x=x So to solve the given equation we have to convert  cot-1x in to the…

Q: Using Euler' formula, show that sin 2x = 2 sin x cosx

A: Euler's Formula used.

Q: 10. Simplify: sin(2 arctan x

A: Given,

Q: verify the trigonometric identity: cot x( sec x-cos x)= sinx

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Q: Use the knowledge of the Mean Value Theorem to prove the trigonometric identity x – 1 arcsin 2…

A: In order to prove the identity, we need to consider a function and by using mean value theorem we…

Q: Prove the identity  cscA-sinA = cotAcosA

A: Given,        cscA-sinA = cotAcosA

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

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Q: lim, 20 sin5x.cot2x = ?

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Q: 4) Simplifying the Trigonometric Identity tanx cosx

A: Topic:-  trigonometry

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

A:

Q: 5. Establish the identity: tan 0 +cot 0 = sec 0 csc LHS COSE Sine Sude

A: consider the given identities

Q: establish the identity sinΘ(cotΘ +tanΘ)=secΘ

A: To prove sinΘ(cotΘ +tanΘ)=secΘ

Q: -) Use a sketch to find the exact value of y = cos ( tan' Be sure to define all necessary…

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Q: 4. Without using your calculator – show your work Evaluate tan ( – 0),when tan (0) = 1/3

A: Solution: The objective is to evaluate the given equation

Q: Find the tan x/2 = (1-cosx)/sinx under the conditions where tanx=-1/3 and cosx &gt;0. Draw a right…

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Q: 2. Find cos x and cot x if sin x = 1/4 and tan x < 0.

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Q: / √1 + x² dx X

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Q: 16. If 0 = arcsin x, express tan 0 in terms of x.

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Q: 1- sine = sece- tan e %3D CoS cos e

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Q: EVALUATE: tan(sin-'(cos(플) + sin(플)) s-'(tan(-주)) + cos

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Q: Evaluate the trigonometric function using its period as an aid. sin() 4

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Q: 14. Using the identities, find tanx and cscx if secx = 5 and sinx <0 %3D

A: Given that        Sec x = 5 and sin x &lt; 0 We have to find the value of tan x and csc x.

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

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Q: Prove the identity. csc (-x) – sin (-x) = cosx cotx

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Q: Evaluate 1 cos²x 1 cot x -)dx sin x

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Q: 11. use Jouble angle identity to find exact value cos x == // and OLX<= ㅠ sec (2x) tan (2x) cos (2x)…

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

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Q: Verify the identity: cot(-x) sin x = -cos x

A: cot(-x)=-cot(x)cot(x)=cos(x)sin(x)

Q: Explain the meaning of = arc sin(0.5)

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Q: What is the value of 2(Arc sin1)

A: Given,          2arcsin1

Q: 1- sine sece – tan 0 Cos e

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Q: Find sin 0 + cos 0 + tan 0 if the point (-1,-2) lies on the terminal side of the angle 0 in standard…

A: Given: Point -1,-2 lies on the terminal side of θ, thenr=x2+y2sinθ=yrcosθ=xrtanθ=yx

Q: |- Sin X Cot X Cosx SinX -

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Q: TI ingularity at 0 of tan is removable. Select one True False

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Q: 1 a) Explain the method for proving sinxtanx+ b) Prove the identity. sinx tanx COSX is an identity.

A: A. Using a fact that sin(x)/cos(x)=tan(x) we are going to prove the above identity. B. Proof is…

Q: How do you differentiate y=arctan(cosx)?

A: The function given is

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

A: Verify: cotxsecxsinx=1