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Q: Evaluating √9-x² dx using trigonometric substitution will lead to: -3

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Q: sinx = 5/13, x E 5,1], then cosx =?

A: We are solving the problem by the property of trigonometry ratio.

Q: - sin ( 7 ) 2 What is the exact value of

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Q: TU (sin³ x)√1 + cos x dx EN

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Q: liu cos? (x) 1- sin (x)

A: Formula used: Sin2x + cos2x = 1 a2 - b2 = (a - b)(a + b)

Q: (A) Evaluate Sin (3x) Sin (3x) dx

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Q: sin (90° - x) = 0.4. What is cos (x)? %3D Submit

A: We have trigonometric identity that sin(90-a) = Cos(a).

Q: 113. arcsin(3x T) = Answer+ 十司。 sin +7 1.207 1/2

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Q: 2 sin-√3 = 0, [0°, 360°) 2

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Q: 3 Tt Simplify sin (sinx) if TSXS . 2 -x-

A: Given : y=f(x)=sin^-1(sinx)

Q: tan 5X lin X→0 Sin子X

A: Given limit is  limx→0tan5xsin7x

Q: 5. y = sin² (In .x)

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Q: Prove sin?x tan²x – cos?x = sec²x - 2

A: To prove : sin2x tan2x - cos2x = sec2x - 2

Q: sin*[In()ax x{cos[

A: Given : ∫ sin3ln72x4dxxcosln72x4-1 Let us take  u= ln72x4⇒dudx= -4x⇒dx=-x4du Therefore, ∫…

Q: Differentiate Sin (m sin-1 x)

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Q: Sin 45" Tanko' t 30° Cas 135¢ Cos 135 7 Tan I50 cos 120°

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Q: 6. G) sec 4 tan .3. dx 3 (),

A: Consider the given integration ∫tan6x3sec4x3dx

Q: tan( sin " + cos") - %3D

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

Q: / sin 3r cos 3xdx

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Q: [sin x √9+ cos² rdr

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Q: 1. sin

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Q: sin 1 COSK to

A: The answer is -1.776.

Q: Differentiate. (а) у 3 За? sin z

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Q: 13. sec*0 sin 8 de

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Q: sec x Verify that = sin x %3D tan xcsc x Simplify the left side to get the right.

A: To verify the given , identity.

Q: 2. Explain the difference between sin(2x), 2sin (x) and sin? (x).

A: Follow step 2

Q: 1- Sin'x = cos1-x?

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Q: Integrate sin (2a)cos (2a)da OS

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Q: (b) . 2r sin- (2²) dr

A: We will use the method of substitution to solve the integral.

Q: tan + cosxtan sinx %3D

A: SOME TRIGONOMETRY FORMULAS: 1.)cos2x= cos2x- sin2x2.) cos(2x)= 2cos2x-13.)cos(2x)=…

Q: ∫sin3θdθ/cos6θ

A: Given: ∫sin3θcos6θdθ We know that, sin2θ=1-cos2θ Therefore, ∫sin3θcos6θdθ=1-cos2θsinθcos6θdθ Now…

Q: Sin CxY)+ In ~メリニメ

A: let y'=dy/dx

Q: sin (플 + z) + sin (-a) is equivalent to: 4

A: Given the trigonometric identitysin(π4+x)+sin(π4−x)

Q: 12 Sin xdx

A: Given: ∫0π2sin12x dx

Q: Jsin 플 sin 플 dae 1.

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems

Q: sin z sin- is equal to 2

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Q: Sc sinx te Cos

A: Given: The integral ∫cos22x sinx dx To evaluate: The given integral.

Q: Differentiate sin x? +1

A: According to the question,  We need to differentiate the function,  Function: sin x2 +1

Q: 2TL Sin 28 do

A: Integration: It is the technique of finding a function F(x), the derivative ofwhich, DF(x), is equal…

Q: Sin-1 e こ? 1ーx2

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Q: 7. tan (8x) sec (8r) da

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Q: 60. Express tan t in terms of sin tif くt<2。 2

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Q: =a sec2o -Sine I +Sino

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Q: 2in Sin 3in lat Tin

A: The given figure is -

Q: tan x sin 2x 2([ ? ]([])?

A: Given,       tan x sin 2x

Q: SIn(5 + VT)dr Algebraic Substitution

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Q: S sin æsin4xdx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5 li sin lax tan 4x

A: Given query is to find the limit of the expression

Q: stion Three: If y = sin(x) – sin³ (x). show that y' = cos³(x).

A: We will differentiate the function and use the identity : 1 - sin²(x) = cos²(x)

Q: 10s sin' ds (s)

A: