6(cos 좋 +isin좋) 1. 15(cos +isin )

Q: Verify the ide

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Q: sin (–8)cos Ocsc (-8)sec (-8)

A: sin-θcosθcsc-θsec-θ

Q: -1 7. tan ¹ (tan 5) 8. COS -¹ (cos)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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

A: To proof: ±1-cosα1+cosα=sinα1+cosα

Q: True or False sin2θ =1- cos2θ.

A: We can prove or disprove trigonometric identities using trigonometric table values of angles . For…

Q: cos cos - sin' Compute the exact value of

A: Simplification

Q: 3. dIn cos ()| = 3 3tan( ) - -을cot (클) 3 3 -tan(을) x2 3 ○ 음cot (을)

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Q: sin2 (풀) + cos2 (풀) =

A:

Q: 3. cos 6 = 17 tan 8 <0

A: Given: cosθ=817, tanθ&lt;0. To find: The values of remaining circular functions of θ. Solution:…

Q: 1- sin0 lim а) 1+ cos 20 2

A:

Q: Arcos ()1 8- Evaluate cos[tan-1(G) - 2

A: 1+9/16 Ans :       Cos[tan-1(3/4)-1/2cos-1(-8/17)]         Step 1:  cos(tan-1(3/4)) -1/2…

Q: Establish each identity.

A: Two trigonometric identities involving sum and difference of cosine functions are,…

Q: Verify the identity.

A: 2cos⁻¹x = cos⁻¹(2x²-1) , 0 ≤ x ≤ 1 RHS = cos-1(2x2 - 1)Let cos-1(2x2 - 1) = AcosA = (2x² - 1)cosA +…

Q: 3 ) -5 cos (sin-1 () tan (cos-1 (=12)) cos ( 7. COS

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Q: tan2x(1+cos2x)=1-cos2x. Verify the identity

A: To verify the equation

Q: 10) cos sec-¹ 2√√3 3

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Q: Using the principal value find: 137. cos-"(cos) , csc-(-/2) cos-1(cos

A: Given: cos-1cos13π6

Q: 10. Simplify (cos x- sin x)? - (sin x-cos x)'.

A:

Q: sin(π /4)=............cos(8π /3)=.....................

A: We have to find the exact values of the given trigonometric functions: sin π4cos 8π3 We know the…

Q: Sin 22.5 × cos 22.5

A: To find: The value of is . Formula used: Trigonometry formula:

Q: cos( - θ) - cos θ =_______

A: Given: cos(-θ)-cosθ=_____

Q: Does cos (π/2 - x) = cos (x - π/2)? Explain with examples

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Q: 6. cos A = - 17 and cos B = -, with A and B in QIII.

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Q: Describe the difference between  y=1/cos x  and  y=cos^-1

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Q: Which is NOT equivalent to cos2x? 2 cos²x - 1 cos²x - sin² x 2sinxcosx 1-2 sin²x

A: We have identity  cos2x=cos2x-sin2xcos2x=1-2sin2xcos2x=2cos2x-1sin2x=2sinx cosx

Q: Find the point of intersection of cos(x)=cos^-1(x)

A: We will find the point of intersection using the graph.

Q: find the exact value of cos(tan-1  (8/15))

A: Given:

Q: sin(cos-(0.7068)) O - 1.2926 O 0.7074 2.7074 -0.2926 1.7074

A:

Q: sin 5tdt V1+ cos /1+cos5t

A: We need to evaluate ∫sin 5t dt1+cos 5t                                    (1) Let  1+cos 5t = u On…

Q: Quèstion 1 2 L{ cos 31} = 2 L{ cos 31 } 2 L{ cos 31 sin 3t } 2 L{ sin 3f } cos 6t 2 None of These

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Q: 7. Prove: cos(0 + 2) 7) = sine.

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Q: cos/ 3 17 cos (TA +x) tanx

A:

Q: cos2 θ - cos2 θ is equivalent to?

A:

Q: Verify the identity.

A: Given: verify the identity cos3x+cos5xcos3x-cos5x=cotxcot4x we know that…

Q: Prove that there exists a value of x so that cos x = cos Note: While you are certainly encouraged to…

A: We will see that there exists a point x such that cosx=arccosx using the graph.

Q: 3 (cos x)2 + 2 2(cot x)3 +4 cot x-5

A: Given the integral ∫3(cosx)2+22(cotx)3+4cotx-5dx

Q: 8 1 + cos 3 Cos ( sin 5 17

A:

Q: VERIFY THE IDENTITY

A: By half angle formula , we have

Q: 49. sin + o) = cos 0 52. cos (7 - 0) = -cos 0 55. tan (7 - 0) tan 0 %3D

A: 49. sinπ2+θ=cosθ Using addition formula  sinA+B=sinAcosB+cosAsinBsinπ2+θ=sinπ2cosθ+cosπ2sinθ…

Q: 3 cos(cos-1() 10-

A: SOLUTION-

Q: Establish the identity 2 2 cos - sin 0 2, 1 - tan 0 2 = cos 0.

A: To establish the identity

Q: (1-cos(x))= (2-2sin^2(x)) from (-pi, pi)

A:

Q: Prove the identity. cos (x-y) sinx- sin(x-y) cosx= siny CoS Note that each Statement must be based…

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Q: sin cos 4 12 cos sin 12 4

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Q: sin θ = -4/5  ,3pi/2   4< θ < 2π Find cos(2θ).

A:

Q: cosh-1(i) CoS

A: we know that cosh-1(X)=ln(-1+x2+x) i,e ln-1+i2+i

Q: sin(cos (0.715)) O 2.6991 O -1.3009 O -0.3009 O 1.6991 O 0.6991

A: Given,               sin(cos-1(0.715))

Q: Use words to describe the given formula.

A: Use words to describe the given formula.            sin·sin·=12cos·-·-cos·+·

Q: sin23 + cos23 = 1

A: Let us first find the value of sin23°+cos23° and then will check whether it's 1 or not.

Q: rectangular form. [3 (cos 40° + j sin 40°)] [4 (cos 80° + jsin 80°)]

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.