Prove each identity  sec theta - cos theta = tan theta sin theta

Q: sin x+ cos x-sin'r 9) 5) = cot x+ cos' x sin x

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: Establish each identity.

A: To solve the identity using the trigonometric ratio there are six trigonometric ratios that…

Q: Establish each identity given in attachment.

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Q: Prove the following identity: Sec/cos - tan/cot = 1

A: Prove the following identity secxcosx-tanxcotx=1

Q: Establish each identity given in attachment.

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Q: Prove each identity.   cos  ( pi/4+x) + cos  ( pi/4-x) =  /-2 cos x

A: cosπ4+x+cosπ4-x=2cosx

Q: Prove each identity.   sin  (pi/6 + x) + sin  (pi/ 6 - x) = cos x

A: Given: prove that sinπ6+x+sinπ6-x=cosx we know that sinC+sinD=2sinC+D2cosC-D2

Q: Prove the following identities (1+tabA tanB)2 +(tanA -tanB)2 =sec2 A sec2 B

A:

Q: Prove the following identities.         sin theta tan theta + cos theta = sec theta

A: We have to prove: sinθtanθ+cosθ=secθ We know following relations for trigonometric ratios:…

Q: Prove each identity    cos 4 A- sin 4 A = cos 2A

A: Given: prove that cos4A-sin4A=cos2A we know that cos2θ-sin2θ=cos2θcos2θ+sin2θ=1

Q: 1- cotr sin' x- cos? x 2) 1+ cotx

A:

Q: Establish each identity given in attachment.

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Q: Prove that each of the following identities is true.   sec 4  theta  - tan 4 theta  = 1+ sin 2 theta…

A: The given identity is, sec4θ-tan4θ=1+sin2θcos2θ

Q: Prove each identity.   cos  (pi/3 + x) + sin  (pi/ 6 - x) = cos x

A: The given equation is not an identity. The correct identity is, cosπ3+x+sinπ6+x=cosx We will prove…

Q: Establish each identity.

A: Given: sec2θ2=21+cosθ

Q: Verify each identity. 9) cos (90° - 0) = sin e 10) sin (0+ 270°) = -cos 0

A:

Q: Prove that each of the following identities is true.     tan theta cosec theta cos theta = 1

A:

Q: Establish each identity given in attachment.

A: Given: The identity cos3π2+θ=sinθ The given identity  can be proved as,…

Q: Prove that each of the following identities is true.   tan theta  - cot theta = sin 2  theta - cos 2…

A: To prove: tan θ-cot θ=sin2θ-cos2θsin θ cos θ

Q: Prove that each of the following identities is true.   sec theta  - cosec theta = sin   theta - cos…

A: Given identity is: secθ-cosecθ=sinθ-cosθsinθcosθ Since, sinθ and cosecθ are reciprocal to each…

Q: Establish each identity.

A: To prove : sinπ+θ=-sinθ Concept used: Trigonometric identity sin(s+t)=sinscost+cosssint Here, s and…

Q: Establish each identity.

A: To establish the identity tan (π-θ)=-tanθ We know that  tan(A-B)=tan A-tan B1+tan Atan B So, we have…

Q: Use one or more of the six sum and difference identities to verify the identity.

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Q: Show that the following statement is an identity by transforming the left side into the right side…

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Q: Establish each identity given in attachment.

A: cosα+β+cosα-β=2 cosα cosβ

Q: Establish each identity given in attachment.

A: To prove an identity we must start with one side of the identity and transform it to the other side.…

Q: Establish the following identity sec\theta -tan\theta =(cos\theta )/(1+sin\theta )

A: Topic:- trigonometry

Q: use the fundamental identities to simplify the expression. 1/cot2theta +sec theta cos theta

A:

Q: Prove each identity  cos t / 1- sin t = 1+ sin t  / cos t

A: We have to prove the identity: cos t1-sin t=1+sin tcos t Taking LHS part and rationalizing the…

Q: Prove each identity.       1/ 1+ cos  t  + 1/ 1-cos t =  2 cosec 2   t

A: We have to prove the identity: 11+cos t+11-cos t=2 cosec2 t Taking LHS part, LHS=11+cos t+11-cos…

Q: Establish each identity given in attachment.

A: Given : tan2π-θ=-tanθ

Q: Establish each identity given in attachment.

A: Given  The identity is sec θ1+sec θ=1-cosθsin2θ .

Q: Prove each identity    cos ( pi/2  + theta ) = - sin theta

A: Given : cosπ2+θ = -sinθ

Q: Show that the given statement is an identity by transforming the left side into the right side. Csc…

A:

Q: Prove each identity.   . cos  ( x- 90 degree  )-  cos (x +90 degree )=  2 sin x

A: Given Identity:                     cos(x-90°)-cos(x+90°)   To prove :                   This…

Q: Prove the following identity in degrees and provide a complete proof in proper form. tan^2…

A: Given; tan2 (theta)  - sin2(theta) = sin2(theta). tan2(theta)

Q: Prove that each of the following identities is true.   cosec 4  theta  - cot 4 theta  = 1+ cos  2…

A: To prove: cosec4θ-cot4θ=1+cos2θsin2θ

Q: Prove each identity.   sec  (A+B)  = cos  (A-B) / cos 2 A - sin 2 B

A: To prove: secA+B=cosA-Bcos2A-sin2B

Q: Prove that each of the following identities is true.     cos theta  tan theta = sin theta

A:

Q: 4) 3 sin' x + 4cos x- 3+ cos x

A: Our Aim is to verify the identity given below:-3 sin2 (x)+4 cos2 (x)=3+cos2 (x)-(i)

Q: Prove each of the following identities.     cos 2 theta  = 1 - tan 2 theta  / 1+ tan 2 theta

A:

Q: Prove that each of the following identities is true.   sec theta +1 / tan theta =  tan theta / sec…

A: Our Aim is to prove the trigonometric identity given below:-sec (θ)+1tan (θ)=tan (θ)sec (θ)-1 -(i)

Q: Prove each identity    1/1 sin t + 1 / 1+ sin  t = 2 sec 2 t

A: To prove the identity: 11-sint+11+sint=2sec2t. Proof: Simplifying the left hand side.…

Q: 2/ Prove or disapprove the following identity. 1+ tan0 1 – tan0 1+ cot0 cot0 – 1

A: Topic - trigonometric identities The given equation is 1+tanθ1+cotθ=1-tanθcotθ-1 To find the…

Q: Prove that each of the following identities is true.     cosec theta  tan theta = sec theta

A: cosecθ*tanθ=secθ

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.