4. sin B + cot B cos B = 1 5. cos 2B – 3 sin B +1 = 0 To di ol

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A: Inverse trigonometric function are the inverse function of specially sine ,tangent, secant,…

Q: 12 Find sin 2x, cos 2x, and tan 2.x if sin x= and x terminates in quadrant IV. 13 sin 2x %3D ? cos…

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Q: 7T then 3 If 0 = sin(0) equals Preview cos(8) equals Preview tan(0) equals Preview sec(0) equals…

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Q: Given the following informationabout one trigonometric function, evaluate the other five functions.

A: Solution: Consider the given trigonometric function is sin θ = -45    and π < θ < 3π2 sin θ =…

Q: 2 Given tan 0 = -and sin 0 > 0, find cos 0. %3D Cos 0 _ 3/13 13 О А. O B. cos O 0 = 3/13 COS %3D 13…

A: The given data is: tan θ= -23  and  sin θ> 0

Q: 3. * S cos(3z)sin1º(3z) dz A 1 C (sin(3z))10 + C 3 (cos (3z))10 + C - -- В 1 (cos (3z))'1 + C 33 1…

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Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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

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Q: 2n sin(30) do 4. Jo 5+cos²(0)

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Q: 5TT 2. Cos 6. 2п Cos 3 + sin sin 6 - - - 3 一。

A:

Q: 4 Suppose that sin e -and <0<1. Find the exact values of cos 2 and tan 2. Cos 2. = D tan, 2) %3D

A: As we know sin2θ+cos2θ=1. cosθ=1-452=1-1625=-35 Using Double angle formula: sinθ2=1-cosθ2=1+352=810…

Q: If 0 < 0< and z= (sin 0+i(1- cos 0)) find in its simplest form arg z.

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Q: 11m If 0 = 6. then sin(0) • %3D cos(0) =

A: Answer

Q: 9. cos 0 =: 24 * and n < 0 < 2n 25 sec 0 = sin 0

A: Use trigonometric ratio to solve

Q: If sin u  = 3/ 5 and sin v = 4/5  and that u and v  are  between  0 and π/2,   evaluate :     cos (…

A: given: sinu=35 sinv=45 and u and v are between 0 and π2. we have to evaluate cos(u-v)

Q: 2. Estimate cos (– 0.1) + cos 4

A: As per given question  We have to solve above question

Q: If cos 2 (5) sin(0) and 0 <0< then 2 0 =

A: cosπ2=sinθ                                L.H.S=cosπ2…

Q: Question 8 If we have to check the DE Sin(x) +y cos(x) =1 for Exact then M,--- dx -cos(x) sin(x)…

A:

Q: -17 If 0= then sin(0) - cos(0) %3D

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Q: 19T If 0 then = sin(0) = %3D cos(8) = %3D

A: If θ=19π6We have to find sin(θ),cos(θ)

Q: - If 0 = then 3 sin(0) = cos(0) = CoS

A:

Q: snip

A: sin4θ=sin2θ2=1-cos2θ22=141+cos22θ-2cos2θ=141+1+cos4θ2-2cos2θ=14+1+cos4θ8-12cos2θ=14+18+18cos4θ-12cos…

Q: Find sin - and cos 2' given that cos 0 and 0<0 < 3

A: Please refer the attached image for complete solution. THANK YOU.

Q: 3pi

A: 1.Cos(x-y)=Cosx*Cosy+Sinx*Siny 2.Sin(x+y)=Sinx*Cosy+Cosx*Siny In a right angled triangle, 3.Sin X =…

Q: 15 Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in guadrant III. 17

A: Given that: sinx=−1517 To find: sin2x, cos2x, tan2x

Q: 4π 3 If Ꮎ cos(0) = sin(0) = = then

A:

Q: 3 Show that sin' 0 cos“ 0 1 1 cos (40) + 32 cos 128 cos ( 80). 128

A: To prove that,           sin4θcos4θ=3128-132cos4θ+1128cos8θ

Q: 4. sin M= 20 16 30 5. tan L = 6. cos Z = 16

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Q: 25л then 6. If 0 sin(0) - cos(0) =

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Q: 15 Suppose that tan a = TC <a<t. 2 and - Find the exact values of cos and tan 2 - JT Cos Undefined…

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Q: If cos 0 = 0.9, find the value of cos 0 + cos (0 + 2x) + cos (0 + 4x). cos 0 + cos (0 + 2n) + cos (0…

A: Given, cos θ=0.9

Q: 3T If 0 = then 4 sin(0) = %3D cos(0) = %3D

A:

Q: 8 and x terminates in guadrant IV. 15 Find sin 2x, cos 2x, and tan 2x if tanx %3D

A: Given  tanx=-815,  x in quadrant IV

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

A:

Q: 2. Suppose tan x = 3 -- with < x < 2n. Find the exact value of cos ). Show you work carefully. ensem…

A: Given problem:- tan(x) =-4/3 with 3π/2 &lt;x&lt; π To find:- Exact value of cosx2)

Q: 1 then sin 20 is equal to 2 If 20 is in QIl and cos 30 cos 0 + sin 30 sin 0 V3 1 1

A: The given trigonometric problem is solved below in detail.

Q: 12 Find sin 2x, cos 2x, and tan 2x if sin x=- and x terminates in quadrant IV. 13 sin 2x %3D cos 2x…

A:

Q: 4. If (sin2x + cos2x)dx =, sin(2x – c) + a, find the values of a and c.

A: Introduction :

Q: see attachment

A: Since tan x = 1/2 and tan x=opposite/adjacent Let opposite = -1 [because of third quadrant]adjacent…

Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx= and x terminates in quadrant II. 17

A:

Q: 15 Find sin 2x, cos 2x, and tan 2x if cos x= and x terminates in quadrant I. 17 sin 2x cos 2x tan 2x…

A: Given cos x = 1517 and x terminates in quadrant Iwe find Sin 2x , Cos 2x, tan 2xwe know that in…

Q: 18. The value of sin (7 +2) is equal to sin a cos z cos z - sin r

A: 18)

Q: 11.Show that A cos (ω0t) + B sin (ω0t) can be written in the form r sin(ω0t − θ). Determine r and θ…

A:

Q: If 0 = then 3 sin(0) = cos(0) = %3D

A: Given  θ = π/3

Q: 1 In 3n 1 sin (3x) [cos"-1 (3r) sin (3r) + 3(n – 1)In-2] %3D I1 = %3D - 3 What is I, ?

A: Given : In = (1/3n)  [cosn-1 (3x) sin (3x) + 3(n − 1)In-2 ]  I₁ =  (1/3n)sin (3x)

Q: 1. If 0° <0< 90° and sin 0 = , find sin 20. %3D

A:

Q: If 0 = then 6 sin(0) = cos(0) = II

A: We can find the answers using trigonometric rules as below.

Q: 2 COS os²(5æ) sin*(5æ)dr 4

A: This is a problem of integration. Based on the general formula of integration we will solve the…