1 + sec 0 sin? 0 sec 0 1 - cos 0

Q: cos 0 by 1 - sin 0 1 + sin 0 1 + sin 0 Multiply

A: Consider the given expressions. cosθ1-sinθ and 1+sinθ1+sinθ The algebraic formula is defined as.…

Q: Given the following informationabout one trigonometric function, evaluate the other five functions.

A: Solution: Consider the given trigonometric function is sin θ = -45    and π < θ < 3π2 sin θ =…

Q: 2π -1 Cos | =0 sin %3D 3

A:

Q: de (sin(0) cos(0)) =

A:

Q: 1. (tan theta - 1)(sec theta - 1) = 0 2. sin^2 theta = 6(cos(-theta)+1)

A: (1).  The given trigonometric equation is: tan θ - 1sec θ - 1=0

Q: sec 0+1 1+cos 0 cot 0 Csc e ||

A: Topic = Trigonometry

Q: 3. [cos 6° + i sin 6°] 30 = COS + i sin %3D

A: follow next step

Q: Show that sin ( 40) (cos 0) (4 sin 0 – 8 sin³ 0). %3D

A: To show: That sin 4θ=cos θ4 sin θ-8sin3θ. Formula used: sin A+B=sin A·cos B+sin B·cos A cos…

Q: 9. cos 0 =: 24 * and n < 0 < 2n 25 sec 0 = sin 0

A: Use trigonometric ratio to solve

Q: Evaluate the integral.

A:

Q: 4 sin 0 1 – 3 cos 0

A: Using Pythagorean identity we write the equation with sin, then solve for sin theta.

Q: 3 sin(0 + 27) = 1 sin 0 cos O O - sin 0 2 sin 0 O sin 0 cos 0

A:

Q: 1- sin 3 Cos B 1+ sin 8 Cos 3

A: We have prove the identity 1-sinβcosβ=cosβ1+sinβ , using trigonometric properties or mathematical…

Q: 7.) tan 0 sin 0 + cos0 = sec 0

A:

Q: 4. у%3D 3 sin(10х) 5. у %3D cot(2x3) 6. у %3D cot?x

A: Our objective is to differentiate the above questions.

Q: 13. Prove. 1+ tan 0 a) cos 0+ sin 0 = sec 0 1 b) 1- sec 0 1+ sec 0 1 = -2 cot? 0 ,2 c) cos 20- cos…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: 1+ cos(0) sin(0) sin(8) 1 + cos(0) = 2 csc(0)

A: Given: 1+cosθsinθ+sinθ1+cosθ=2cosecθ

Q: y (3, 4) sin(0) = %3D cos(0) = tan(0) = csc(0): sec(0) : cot(0) = %3!

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Q: Evaluate the integrals

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (sec 0 + csc 0)(cos 0 – sin 0)

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Q: Find zw and z/w, Leave your answers in polar form.

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Q: 4 sin e = cos 0 = tan 6 = csc e sec e cot 0 = 3.

A: The values are:

Q: 11. sin-(-0.99) 12. cos(-0.1)

A:

Q: Establish each identity.

A: Our Aim is to prove the identity given below:-1-cos 2θ +cos (4θ)-cos (6θ)=4 sin (θ) cos (2θ) sin…

Q: Evaluate [(cos² 0 + 2 csc² 0 + sin²0) do. (a) 0 + 2 cot 0 +C (b) 0 2 cot 0 + C - (c) sin²0 + 2 cot 0…

A:

Q: 2+ sin 30 do 1 (b) / sec 0 tan 0 3 9 – 0²

A: To evaluate the given integral.

Q: cos 0 = ems 3' 2 sin 0 = csce = %3D cos0 = sec0 =_ tan 0 =_ cot0 = %3D 1/3

A:

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: 6. -3 sec e + 23 = 0 7. SINX CosX +1 %3D 3. SiN - Cos 20 9. tAN X taN X %3D

A: According to rule I have solved one question.

Q: 7. I. csc e - Cos 0 cot 0 = sin 0 II. (sin 0- cos 0)² = -1 COS %3D

A: Given that I. csc θ-cos θ cot θ=sin θ II. (sin θ-cos θ)2=-1

Q: 11.) 7 tan 0 = 3/3 + tan 0 12.) 2 sin ở cos 0 + cos 0 = 0 %3D

A:

Q: Prove that sin? 0 + cosª 0 = sin“ 0 + cos² 0.

A: Using fundamental identity of trigonometry.

Q: 2 sin(20) (1+ cos(20)) (1 – tan? 0) COS

A:

Q: sin 30 4. sin e cos e 4 cos 0 – sec 0

A: To verify the identity: sin3θsinθ cosθ=4cosθ-secθ. Proof: We have an identity, sin3θ=3sinθ-4sin3θ…

Q: 13. Solve. 2 sin? 0 + sin 0 = 1 + 2sin 0 %3D

A: Given,           2sin2θ+sinθ=1+2sinθ

Q: sec 0 — сos cos O sin 0 sec 0 + cos 0 1 + cos? 0

A: To prove that,             secθ-cosθsecθ+cosθ=sin2θ1+cos2θ

Q: 1.) csc23ßsin3ß dß csc2 3ßsin3ß cos3ß 2.) S sin²a(seca)-5 da

A: To evaluate the given integral.

Q: 1 cos²(1) tan(1) · cos(1) sin( – 180 + 1)

A: we have to solve the following

Q: 3. sin²0 – cos²0 = 2 sin 0 – 1

A: sin2θ-cos2θ=2sin2θ-1

Q: Prove that 2 + sec 0 csc 0 (sin 0 + cos 0)? sec 0 csc 0

A:

Q: 1- cos(20) cOS 2. sin(0)

A:

Q: 1/2 sin? x + sec² x ) dx (1+ cosx)²

A: To find the integral of ∫0π/2sin2 x1+cos x2 + sec2 x dx Let us first simplify the integrand, sin2…

Q: z1 = 30 (cos 20° +i sin 20°) and z2 = 6 (cos 5° + i sin 5") %3D %3D ( cos +i sin %3D

A:

Q: sin 0 35. r = cos 0 – 1

A: since you have asked multiple questions in single request so we will be answering only first…

Q: Prove that 1 a) (cos ec0 - sin O)(sec 0 – cos 0) tan 0 + cot 0

A: The given expression to be proved is, cscθ-sinθsecθ-cosθ=1tanθ+cotθ Solve for the LHS as,…

Q: 0. (sin 0 + cos 0)² = 1+ sin 20 %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: ∫ sin^3 2θ (√cos 2θ ) dθ

A: Integrate∫sin32θcos2θdθ  ..........1

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

A:

Q: Prove the identities: (sec 0 – cos 0)(csc 0 – sin 0) = sin 0 cos 0 -

A: Topic - trigonometry