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

Q: sin 20 5) Verify tan 0 %3D 1+cos 20

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Q: Prove that: 1-tan? 0 cos? 0 - sin? e %3D 1+tan? 0

A: A function is said to be a rational function if it is given as the ratio of some values.  The…

Q: 3 Prove the identity: sin30 = sin® –sin30 using De Moivre's theorem.

A: To prove the given identity ,we have to use De Moivre's identity.

Q: (a) Buktikan, Prove that, (sin x + cos x)* = sin" 2x + 2 sin 2x + 1. %3D

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

Q: prove that 2. = - Cotx + C 2 |- Cos?x + Sinx

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Q: ) Prove that 2+sinZA Cos A-SinA

A: To Prove: cos3A-sin3AcosA-sinA=2+sin2A2

Q: Verify the identity. tan(0) sin(0) + cos(0) = sec(0) tan(0) sin(0) + cos(0) sin(0) + cos(0) cos(0)…

A: (1)tan(θ)sin(θ)+cos(θ)=sec(θ)tan(θ)sin(θ)+cos(θ)=sin(θ)cos(θ)·sin(θ)+cos(θ)…

Q: a) Buktikan, Prove that, (sin x + cosx)* = sin 2x + 2 sin 2x +1.

A: The given equation,sinx+cosx4=sin22x+2 sin2x+1

Q: 16. Verify sin(180° – ) = sin e (SHOW WORK)

A: We know that sin(a-b)=sina cosb-cosa sinb

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: Algebraically prove the identity, Left Side sin +1 1 sin 8-1 2 sec² 0. Right Side

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Q: Prove the identity. cos²x 1+ sinx (1– sinx)? 1- sinx

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Q: Find the smallest positive angle x in degree 1) cosx = -1/2 2) sinx = -1/2 3) tanx = -√3 4) Cscx =…

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Q: 1) Prove that sin 0 tan 0 + cos 0 = sec 0.

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Q: Prove the identity. cosx/1-sinx - 1/cosx = tanx

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Q: cos(-x)+sin(x=x) Q4 prove that sinx 2

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Q: Verify the identity 2 sin3θ cos θ + 2 sin θ cos3θ= sin 2θ.

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Q: Prove + cosß)* +(sina + sinß) = 4cos² a - B) %3D

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Q: True or False sin ( 20) has two equivalent forms: 2 sin 0 cos 0 and sin² 0 – cos 0

A: Given statement is, sin2θ has two equivalent forms: 2sinθcosθ and sin2θ-cos2θ.   The objective is to…

Q: 2. Prove using the angle sum identity of sine: sin 90° = 1.

A: 2- Given- sin90°=1 To prove- The above expression using sum identity of sin. Identity Used-…

Q: Verify the identity. tan(0) sin(0) + cos(8) = sec(0) tan(0) sin(0) + cos(0) : sin(0) + cos(0) cos(0)…

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Q: Prove the identity. 1+ sinx cosx =2 seex cosx 1+ sinx

A: We need to prove the following identity 1+sinxcosx+cosx1+sinx = 2secx

Q: Verify the identity -1 sin'0+2cose-1 1 sin 0+3cos0-3 1-sece

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Q: 2) Verify that the equation is an Identity tan 0 %3D sin 0 sec 0 %3D %3D

A: We know that secx is the inverse of cosx and tanx=sinxcosx the objective is to prove the…

Q: Show that sin³ +cos³0 sin + cos 2-sin 20 2

A: Here we use the formula of (a+b)^3 .

Q: sin 2ø tan² ß do + (sec² ß – 1) cos p dß = 0 B = 2 sin o + c %3D o p = 2 sec² B %3D

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Q: 8. Prove that tan? 0 + cos? 0 + sin² 0 = sec² 0. %3D

A: Explanation and solutions is given below....

Q: sin z sin- is equal to 2

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Q: Verify the identity: 2 sin3 θ cos θ + 2 sin θ cos3 θ = sin 2θ

A: Verify the identity: 2 sin3 θ cos θ + 2 sin θ cos3 θ = sin 2θ

Q: Prove that sin? 0 – sin* 0 = cos? 0 – cos* 0. cos“ 0.

A: We can use the trigonometric identity, sin2θ+cos2θ=1 sin2θ=1-cos2θ.

Q: Prove that sin3x/sinx - cos3x/cosx = 2

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Q: Prove (cosa + cosB) + (sina + sinß)° = 4cos²- « - B) %3D

A: Prove this equation by using some trigonometry identity

Q: 1+ sine tane + sece - 1 tane – sece +1 Prove that cose

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

A: To establish the identity

Q: a1/ Prove that 1+ sine tane + sece - 1 tane - sece +1 cose

A: Note:-     as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Prove that = tan 0 + cot 0 (cosec 0-sin 6)(sec 0-cos 0)

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Q: 1+ sin 0 1- sin 6 Prove that (tan 0+ sec 0)2 Do NOT start your proof by assuming the conclusion.

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

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Q: Recall that sin2 0 means (sin 0)². find sin2 0. If sin 0 = sin< 0 =

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Q: 2) Explain why sin(8) = cos(90-e). %3D

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Q: Prove Sine tan 2. 1+ cose

A: Using the double angle identities we get

Q: Prove CotA= sin2A/1-cos2A

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Q: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

A: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

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

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Q: Prove using trig identities sin 20° =1 V3 cos 20° – 2 sin 40°

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Q: tan(-8) cot(a) sec²(7) cos(3) Compute the value of

A: The objective is to compute the vaule of tan-δcotαsec2γcosβ.

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

A: Topic - trigonometry