sin 0 cos 0 tan e sec 0 csc e cot 0 O in QI e in QII O in QIII O in QIV

Q: tan (5) dx sin (x) Evaluate a. tan () + C O b. cot () + C Oc.2 cot (풍) + C o d. 2tan(풍) +C

A: Option (a) is correct.

Q: Prove the trigonometric identity: 1 sec(x) – tan(x)sin(x) = sec(x)

A:

Q: cos(x + y) Prove the identity: cot y – tan x. cos x sin y

A:

Q: 8. and tan 0 < 0 17 8. sin 0 csc e = cot 0 =

A: We are authorized to answer one question at time since you have not mentioned which question you are…

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

A:

Q: a. sin(0) b. cos(0) c. sec(0) d. csc(0) cot(0) е.

A: Consider a right-angled triangle ABC and a,b,c are the sides of ∆ABC.

Q: sin Icos 15° csc 35° tan 4 sec 3 cot 85" : tan 5" : sec55" : CoS 3 :: Csc :: sin 75" cot ::

A:

Q: Establish each identity.

A: Given: The statement secθ-cosθ=sinθtanθ, To find: The given identity.

Q: Establish each identity.

A: cosθ(tanθ + cotθ)=cscθ

Q: sin 0 Simplify: I + cos 0 O sec 0 – tan 0 O cse 0 + tan ở O csc 0 + cot 0 О csc @ — сot @

A: Given expression is  sinθ/(1 + cosθ)

Q: practice question, I attached a photo

A: Since sin θ = -1/2,

Q: 8 b) tan 0 and sin 0 < 0 15 sin 0 cos 0 tan 0 sec 0 Csc 0 cot 0

A: Given that  tanθ = -815

Q: Establish each identity.

A: Given sinθ+cosθcosθ-sinθ-cosθsinθ=secθcscθ

Q: SinA (1+cos A) = 2cosecA (+cos A) sin A

A:

Q: tan : sin z :: cot : cos r cos/ sin O 1/tan O cos csc csc / sec

A:

Q: sin(0) = cos(0) = %3D ... tan(0) = %3D csc(0) = %3D sec(0) = cot(8) = %3D ... --- 田

A:

Q: . sec 0 = sin 0(tan 0 + cot 0)

A: Given expression: sinθtanθ+cotθ=secθ We know that  tanθ=sinθcosθ and cotθ=cosθsinθ

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)

A:

Q: sec 0 – cos 0 = sin 0 tan 0

A:

Q: 5 [cot 0 · sec 0 · sin 0]

A: Given: 5cotθ·secθ·sinθ

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

A: The values are:

Q: • sin 0 r cos 0 dr do.

A:

Q: Establish each identity given in attachment.

A: Consider L.H.S. : sin θ+cos θsin θ-cos θ -sin θcos θ=sin θcos θ-sin θ cos θ -sin2 θ sin θ cos θ =sin…

Q: cot x dx In (sin x)

A:

Q: sin 0 cos e tan e

A: We have given that angle θ is in standard position and terminal side of θ intersect the unit circle…

Q: sin e Establish the identity: csce - cot e = %3D 1+ cos 0,

A:

Q: a. cot 0 sec 0 tan? 0 sec² 0 1-sin? x с. csc2 x-1 b.

A: (a)  Consider the given expression cotθ secθ Since, cotθ=cosθsinθ Then, cotθ secθ=cosθsinθ…

Q: (sin 0 + cos 0)´ =1+ sin(20) s 0)° =1+sin(20)

A:

Q: sin(0) csc (0) cot (0) 12

A: Solution of the problem as follows

Q: cot? 0 +1 8. I. tan 0 cot 0 sec2 0 sin? 0(cot? 0 + 1) II. cos 0 sec 0

A:

Q: sin 0 = Csc e = cos e = sec 0 = tan 0 = cot 0 =

A:

Q: 20) Establish the identity. cot 0 – tan 0 cos(20) cot 0 + tan 0

A: Given, cotθ- tanθcotθ+ tanθ = cos2θ   We have to prove the above identity

Q: tan e > 0 & sin e

A: Trigonometry:

Q: Simplify the expression.

A: We have to simplify the expression: sin3 θ+cos3 θsin θ+cos θ We know the formula for sum of two…

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: tan 6+ sin 0 cos 2 2 tan e

A:

Q: A + sin x If (tan x + sec x)? then B – sin x A = B =

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: sin O csc 0 = cot 0 %3D tan e

A:

Q: sin²0 + tan²0 + cos²0 Otan ²0 cos ³0 sin 0 sec²0 ty the e

A:

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: 3. cot cos h. csc 2 tan i. sin(sec x) g. 12

A:

Q: 后 sin (7 sin e cos e de

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Q: sin 30 cos 0 de

A:

Q: 8 csc² 4x cos(cot 4x). dx sin (cot 4x) EVALUATE.

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Q: 10 [cot 0 · sec 0 · sin 0] =

A:

Q: 51. cot 0 + tan 0 = sec 0 csc 0

A: Topic- trigonometry

Q: Fill in each blank so that the resulting statement is true.

A: DeMoivre's formula s used to solve the problems in which a complex number is raised to some power. A…