30. cos (a – B); sinɑ 2 for a in Quadrant II and cosß = 3 - for ß in Quadrant III.

Q: sec(θ)=11/3

A: Please refer to the image below

Q: **#1.) In triangle JKL, mZK = 90° and tanl = Determine the value of cos). %3D

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Q: 9. If csc 0 =2 and cos 6<0, find sec 0. %3D

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Q: If L--in a/a¢, then [L,cosø ] = iħsino I O iħsin20 .II O iħcoso .III O

A: It is given that Lz⏞=-in∂∂ϕ,

Q: Suppose that places) < 0 < 2T, csc(0)=8/3, find sin(0)=___. 2 (round to 3 decimal

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Q: Give the exact value of csc (cos (). Decimal approximations will receive no credit!

A: We can make it easier for you.

Q: 12 "2 If Y= \n(Sinae), Prove y =y=- ノ

A: Here, the given function is: y=ln(sin x) So, y'=1sin x(cos x)=tanxy''=ddx(y')=ddx(tan x)=sec2x

Q: Find Cos asinsa da Bubstitute

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Q: e cosl – i e™ sin 1 + e¯ cos 1 - i e- sin 1 2 e cosl + i e™ sin 1 – e- cos 1 + i e¯I sin 1 -TT 2 e…

A: Simplify the given expression: Coshπ-i

Q: If cos x = and sI< 27, then tan 2x %3D

A: Given,           cosx=45 , 3π2≤x≤2π.

Q: If w-f(a,b,c)=cos(ab)sin(b)+c, what is at -,6 )? 2 3

A: The given function is w=fa,b,c=cosabsinb+c and the point 12,π3,6. .

Q: 9) -135° Pos Neg Sin Cos -:-

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Q: 2 _ 2 if tane + sin0= m and tan0 – sin0 = n ,show that m² – n´ = 4 mn

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Q: Find the crea trom X = 0 to 2 rad y=2 sin '/2 Tr x.

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Q: – 27 then If 0 3 sin(0) = cos(8) =

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Q: Boundady Sin? X yla, %3D

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Q: If COS 0 = √√3 2 ო sino = 9=1/1/21 FIN O sin0 = 1/14 2 O sin0 ine=-2/2 O sine= 11/13 2 == and < 0<-…

A: topic- trigonometric ratios

Q: Find if r = sin[cos(-0)]. de dr = sin 0 cos(cos 0) de dr cos[sin(-0)] de Option 3 Option 1 dr dr sin…

A: This question is based on application of Derivative.

Q: 4. Evaluate et cos xdx.

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Q: Show that a. cosh iu = cos u, b. sinh iu = i sin u.

A: To show that

Q: If sin B = B in QI , find with B Cos 3– 2/2 Cos 3 + 3 COS 6 3- 22 6 cos 3 - 212 cos 3 3 + 3 CoS

A: Given that, sinB=13 Find the value of cosB2. We know the trigonometric formula's:…

Q: then tan 0 is equal to If tan 4. %3D 3

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Q: If sec(α)=25.2/19.4, then what is the value of cos(α)? (options in image)

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Q: If 5 tana =4 5 sin a – 3 cosa 1 Show that 5 sin a + 2cos a 6.

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Q: If cos (alpha + beta ) = 0 , then sin (alpha - beta ) can be reduced to ?

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Q: 1. If theta = arcsin(1/2) and 90deg < theta < 270deg, what is tan theta? 2. Find the value of…

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Q: 1. If tan⁡θ=3/4 and θ is in QIII, what is csc ⁡θ? 2.  3.

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Q: 15 cos( Arcsin 17 (뉴) + Arccot 40 is equal to... -435/308 O -528/697 O 528/697 435/308

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Q: 4 Find sin 2x, cos 2x, and tan 2x if cosx= and x terminates in guadrant III.

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Q: Show that sin , +sin ¤, = 2 cos[;(4, – Þ,)]sin[;(P, +Ð,)]

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Q: If 2 sin-' p = cos-q, show that 4p² – 4pª + q° = 1.

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Q: In 7.2 problem 10 since the half angle identity of cos^2 is being applied to cos^4 shouldn't the…

A: Yes, the half angle identity of cos2t must be squared while applying to cos4t. The correct…

Q: 3. What is csce if tane = ?

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Q: If 0 = – 3T then 4 sin(8) = %3D cos(0) = Give exact values. No decimals allowed!

A: Find the value

Q: 10. Show that if A ia an acute angle, sin²A+ cos² A = 1

A: This can be solved using triangle

Q: 3. Find the value of cote + co sece 5. If cos e = %3D

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Q: How do you evaluate ∫ sinmx cosnx dx if m is odd? What if nis odd? What if m and n are both even?

A: If n is odd use substitution with u=sin x, du=cos xdx and convert the remaining factors of…

Q: 2m de Question #7) 12 - sin 0

A: q-7) let I=∫02πdθ12-sinθ it is known that  sinθ=2tanθ21+tan2θ2 I=∫02πdθ12-2tanθ21+tan2θ2…

Q: 8.) Give Rodans: Cos'() the exact an Swer in

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Q: Civen Simua, 0cue find comsãeer cos 2u

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Q: If y = cos*[sec²(30)], and (0 = -) %3D %3D y will be equal to?

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Q: sin(A+B) = sinA cosB + cosA sinB

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Q: Which of the following is equivalent to cos (60° + 0) + sin(30° + 0)? cos 0 + v3 stn e cos e O…

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Q: is it right to say cos (60o-30o) = cos60o .cos 30o+ sin60o.sin30o?

A: cos(A-B)=cosA.cosB+sinA.sinB

Q: S- cos ve ve sin? ve de =

A: We will evaluate the given integral.

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.