Challenge Problem Prove: cot!x = tan

Q: sin z %3D sin z+cos z tan z If what is the value of 2A?? A+tan z

A: Given statement, sinxsinx+cosx=tanxA+tanx

Q: tan x-1 3. Which expression is equal to using identities? tan x+1 1-cot x 1+cot x cot x 1+cot x cot…

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Q: tan x-1 Which expression is equal to using identities? tan x+1 1-cot x 1+cot x cot x 1+cot x 1+cot x…

A: We need to evaluate the expression using the identities: tanx-1tanx+1

Q: Use identities to find the value of the expression. Find: tan 0 and sin 0 if cot 0 and sec 0 > 0

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Q: Verify the identity. cot x - csc x 1- sec x = cot x

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Q: Establish each identity.

A: To establish the identity: sin(4θ)+sin(8θ)cos(4θ)+cos(8θ)=tan(6θ) Solution: We know,…

Q: Establish each identity.

A: Given: L.H.S=tanθ+cotθ We can write it as, tanθ+cotθ=sinθcosθ+cosθsinθ=sin2θ+cos2θsinθcosθ=1sinθcosθ

Q: Verify the identity cot^2 θ+1/cot^2 θ ≡ sec^2 θ

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Q: Cot : 1/tan :: sec :

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Q: cot(e) = 6; sec(0)<0,

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Q: Establish each identity.

A: cosθ(tanθ + cotθ)=cscθ

Q: tan (6æ)sec (6æ)dæ Evaluate + C

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Q: tanβcotβ=1

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Q: cove the identity 2 tan 0 tan²0 + 1 = = sin(20).

A: Topic:- trigonometry ratios

Q: cot 0 = 4 sin 0 = Work space:

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Q: Establish each identity given in attachment.

A: An identity is established when simplification on either side of the identity leads to the other…

Q: cot 0 sin 0 cos 0 =

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Q: sin 0 20 O lies in quadrant II Find tan 20. = 29

A: In the question it is asked to calculate the value of tan(2θ) when sin(θ)=2029 lies in second…

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

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

Q: csc 8-cot 0 sin? 2 %3D 2 csc e

A: Given that        sin2(θ/2) = (csc θ - cot θ)/2 csc θ

Q: tan 0+ sec 0 The expression can be reduced to 1+ sin 0 O sin 0 1 sin? 0 cos 0 1 cos 0 * Previous

A: To reduce the expression

Q: 5 [cot 0 · sec 0 · sin 0]

A: Given: 5cotθ·secθ·sinθ

Q: Verify the identity:cot x + tan x = csc x sec x.

A: The given identity is cotx+tanx=cscxsecx

Q: what is the value of x? cot x/2 =1 tan 2Θ =1

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Q: 16. (tan 0+cot@y = sec 0+ csc? 0 tant

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Q: tan e + sin e 26-30. Verify == tan e sin e csc e + cot e

A: Trigonometric is the geometric study of triangles and algebraic study of trigonometric functions the…

Q: sin (cot−1 (5/2 ))

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Q: cot x sec x sin x = 1

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Q: Find csc 0 it cot 0 =-44/55 and sin 0>0

A: here the value of cot(x) is negative and also sin(x)&gt;0 which means the angle is in the second…

Q: Finu sin(a) and cos(ß), tan(a) and cot(B), and sec(a) and csc(ß). 20 35 (a) sin(a) and cos(B) (b)…

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Q: 9. sin cot x. xo a

A: According to our guide we can attempt only one question so i am providing answer for 1st question .

Q: = 10 sin(8 - 0): tan(6) e in Quadrant III, sin(o) = O in Quadrant IV 10

A: First find out theta and phi in respective quadrant  And then substitute

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: _1 3 tan2 0+ cot 0 3D2

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Q: Prove identity: cot x = cot(2x) + csc(2x)

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

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Q: tan x cot x 45. = 1+s cot x tan x

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Q: sin 0 = 4. Solve for angle 8 where 0° ≤ 0 ≤ 360° a. cot 0 cot 0 = 1 b. VI 1 √√2 VI

A: We will solve for angle θ where 0°≤θ≤360° in the following steps.

Q: tan (90° - x) = 9.3. What is cot (x)? %3D

A: Some trigonometric identities: sin(90-θ)=cos θ cos(90-θ)=sin θ

Q: 1+sin 0 sec 0 + tan 0 1-sin 0 True False Leave Question O O O

A: We have to state true or false.

Q: (1+sin@)(1-sine) cot e 2

A: We use Trigonometry identities

Q: 5.) Prove the identity. cot(x) + tan(x) = sec(x)csc(x)

A: To prove that  cotx + tanx = secx.cosecx

Q: 10 [cot 0 · sec 0 · sin 0] =

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Q: sin(X)=3/5, X lies in 1st quadrant. Find cot(X)

A: sin x=phcot x=bp where p is the perpendicular, b is the base anf h is the hypotaneous. Given: p=3…

Q: sino Given that 0<0 < I 2, what is the exact value of sin(20)? 3 and

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Q: cot tan 12 -1

A: I have provided a solution in step2.

Q: tan? x 1. Simplify: - 1+secx 2. Simplify: cot? x (sin² x)

A: Using trigonometry, we can solve these problems

Q: Verify the identity: cot x + tan x = csc x sec x.

A: cot x + tan x = csc x sec x. L.H.S  = cot x + tan x           =  cosxsinx + sinxcosx           =…