Find he principal valeier of the folousag (@) tanG) (6) Cos ) co tan 62) चिम्य ख

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A: topic - inverse trigonometric ratios

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A: Given statement: tan t can be rewritten as 1cot t as well assintcost. To determine: Given statement…

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Q: Show that this is true using a sum or difference identity, and double angle identity. sin60°=√3/2

A: we use the formula Sin(a+b)=sinacosb+cosasinb. and sin(a-b)=sinacosb-cosasinb. sin(2x)=2sinxcosx.…

Q: cos(3x) = 4 cos x – 3 cos x. COS

A: To Determine:  Use addition formulas and double angle formulas to verify the identity.  Given: we…

Q: Use a special right triangle to express sin 60 as e fraction or as a decinal to the nearest…

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Q: Evaluate tan" (32) sec"(3e) dz. sec" (Зa) da.

A: Here we integrate using substitution method.

Q: What are the remaining 5 trigonometry functions sim theta =1?

A: Given query is to find the remaining trigonometric functions.

Q: Find the areg between Ye CosX an d y--SinX trom o tr .

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Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: Given, sinθ.secθ=tanθ transform leftside to rightside from trignometric formula we know secθ=1cosθ…

Q: Use a difference identity to prove than tan(0+ t) = tan(6).

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Q: Derive the ivenidentitics Sin 20 CoS 20 %3D seco sino COso

A: We have to derive the identity                                        sin2θsinθ-cos2θcosθ=secθ

Q: prove the identy. sec θ − cos θ = tan θ sin θ

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Q: If x = 8 sec 0, express tan e in terms of a. %3D

A: Given: x=8secθ Express: tanθ in terms of x

Q: 4- Sin' aCOSX -bSinX bcost+asinX

A: solution:-

Q: 3. Rewrite the expression tan (2x) sec² (2x) entirely in terms of tangent.

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Q: 1. tanxsins + cosx = secx

A: using trignometric identities:-

Q: Express as a sum.(cos au)(cos bu)

A: Given : (cos au)(cos bu)

Q: If csc(z) = 6, for 90° < x < 180°, then sin com ) - [ tan) - COS

A: First of all find the value of x, then find the given

Q: cos(Inɔx),>o

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Q: By making an appropriate u-substitution, one has that sin(3r - 2) da a-sin(u) du What was: b-- Note:…

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Q: 14. tan 14. tan ( cos-1

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Q: Use the substitution t= tan to show that secx+ tanx = tan (4+3). %3D

A: We have to prove using substitution t=tan(x/2).

Q: Calculate the missing value. Use the Pythagorean Theorem!

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Q: 3. Which expression is equal to O - cos²x sin² x O - sin²x O cos²x secx sin x cotx+tan x using…

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Q: On a separate sheet of paper, prove the following is an identity. cosX/1+sinX + 1+sinX/cosX = 2secX

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Q: what is cos(arccos(-3/7)) ?

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Q: which one is cosx * cotx + sinx equal to? a- tanx b- secx c- cscx d- cos^2x e- none of these

A: We replace cotx by cosx/sinx

Q: Prove the identity. csex- sinx cotx cosx

A: csc(x) = 1sin(x) cot(x)=cos(x)sin(x) sin2x + cos2x =1

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Q: prove the identity cosx + sinxtanx= secx

A: The given identity,cosx+sinx tanx=secx

Q: 3. Rewrite sec (tan-u+ cosv) (a, algebraic expression. as an

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Q: sec? V5 ), tan 17 dx

A: Evaluate the given integral by using substitution I=∫sec2x5tan17x5dx

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Q: Determine the exact value Of Sin240°. Decimal apprAmation Will not be exepte) }

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Q: Use Figure 8 to prove that (cos-x)' = VI - x² FIGURE 8 Right triangle with y = cos-x.

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Q: Express as funetiou trigonmetric angle. of one * ° ° Cos 45 coss22 +sin45°sin22

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Q: Simplify tan ¹(− ª) to a single trig function using the sum or difference of angles identity. 2

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Q: 3+ cos 30 de 1 sec tan 16 + 0²

A: Given,          ∫secθ5tanθ5-116+θ2+3+cos3θ5dθ

Q: Xx sec( 2x

A: Solution:-

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Q: a Cofun Ction with the Same Ualuc as Sin 2 TT.

A: SOLUTION-

Q: What is sec⁡ θ in the right triangle shown?

A: 1) secθ = 1/cosθ 2) cosθ = b/h  where b is base(24) and h is Hypotenuse(25) of right angle traingle…

Q: 3. Rewrite the expression tan (2x) sec²(2x) entirely in terms of tangent.

A: Given: tan52xsec22x Formula Used: sec2x+tan2x=1

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.