What is tan x if csc x = -V34/3 and cos x < O? * V34 CSC X =

Q: State the half-angle identities used to integrate sin2 x and cos2 x.

A: Given, The functions are sin2 x and cos2 x

Q: Find sin x if cot x = -(√3)/2 and cos x

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Q: Verify the identity: (cos 4x - cos 2x)/(sin 2x - sin 4x) = tan 3x

A:

Q: Suppose that tan 0 = - and 90° <0 < 180°. 4 Find the exact values of cos and tan 2 믐 JT - 0 cos %3D…

A: giventanx=-34   90°&lt;x&lt;180°  we know that…

Q: Verify the identity. sec 0- cos 0= tan 0 sin 0

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Q: If sin(2x) = cos(x+30"), what is tbe value of x?

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin (2x) =…

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Q: Suppose: sin(x) = -0.6638 cos(x) = 0.7479 tan(x) = -0.8875 Then, sin(-x) = 0.6638 cos(-x) 0.7479…

A:

Q: Verify the Identity: tan 0+ cos 1+sin 0 -= sec 0

A: To prove :- tanθ+cosθ1+sinθ=secθ

Q: Osl 2. 2Sin x- CosX+1 = 3 tan x 2 Cos?x

A:

Q: Verify the identity. cos x = sin x sin 2x + cos x cos 2x

A: we have to verify the identity

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin(2x)…

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Q: find x in degrees Sin x=0,8766 tanx= 3.7834

A: Given that sinx=0.8766 and tanx=3.7834 To find x in degrees

Q: Suppose cos x = - , where n < x < * . Find the exact value of cos(x – 4) . COS

A: cos(A-B)=cos A cos B+ sin A sin B

Q: Find tan 0 if sin 0= 1/4 and 0 terminates in Q1

A: Given, θ terminates in Q1 So, tan θ i s positive

Q: 1- sin2x/1+cos x=cos x. Verify the identity

A: The given identity:

Q: 1. sin' ( 1/ 2)

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Solve 4 tan x * cos^2 x = 1 for 0 ^ 0

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6, tan(x) < 0 sin(2x) =…

A: Given

Q: find solution set of tan-1x-cot-1x=cos-1(2-x)

A:

Q: Establish the identity. (5-) - sin cos 0 %3D

A: Given,          sinπ2-θ=cosθWe know that,           sinA-B=sinAcosB-cosAsinB

Q: Find sin 2x, cos 2x, and tan 2x from the given information. 4 COS X = 5' * csc x < 0 sin 2x = cos 2x…

A: We answer the questions as below.

Q: Suppose tan x = -4 , where < x < n. Find the exact value of sin(2x).

A: see 2nd step.

Q: Find sin(x/2) =  cos (x/2) = tan(x/2) =   from the given information. sin(x) = 24/25,   0° < x <…

A: Question: Find sin(x/2) =  cos (x/2) = tan(x/2) =   from the given information. sin(x) = 24/25,…

Q: If x= ln (sec θ +tan θ) , show that sec θ = cosh x .

A: It is given that  x= ln (sec θ +tan θ)

Q: how many solutions does (tan(x)-4)(cot(x)-2)(5cos(x)-6)(cos(x))=0 have in the interval [0,2pi]

A: Given:

Q: 4 If tan x = and <x< T, find sin (2x). - 7

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Q: 1-cos?x 4. tanx sinxcosx

A:

Q: 1-cos2.x sin 2.x : tanx

A: Given- 1-cos2xsin2x : tanx To Simplify- The above expression. Formula Used- cos2x=1-2sin2x and…

Q: Verify the identity: [sin 2x + (sin 3x + sin x)]/[cos 2x + (cos 3x + cos x)] = tan 2x

A: Consider the identity, sin2x+sin3x+sinxcos2x+cos3x+cosx=tan2x To apply the trigonometric identity,…

Q: Prove the identity. + sin 3 cos x- cosx

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6,   tan(x) &lt; 0…

A: Given informationCosec(x) = 6, tan(x) &lt;0

Q: If sin (x) = 5/13 & cos (x) < 0, find the value of tan (x

A:

Q: Find sin 2x, cos 2x, and tan 2x from the given information. 4 cSc x < 0 5' cos x = sin 2x = cos 2x =…

A: Given  problem:-

Q: cos(pi/2 -x)=10/11,

A:

Q: What is the exact value of cos (tan ¹(-1)) 2 -? sin cos 08-¹(- +/-))

A: We have to find the exact value of costan-1-1sincos-1-32.

Q: If cos x = 2/3 Find sin x and tan 2x

A: To find: The value of sin x and tan 2x. Given: The value of cos x is 23. Concept used: Trigonometric…

Q: Show that sin²(x) cos(x) = sec(x) – cos(x)

A: We need to show the following. So,         Manipulating right side=secx-cosx=1-cos2xcosx=sin2xcosx

Q: from the given information. tan(x) = 2,   0° < x < 90° sin x/2= cos x/2= tan x/2=

A: Given tan(x) = 2 So first find x ,   where 0° &lt; x &lt; 90°

Q: Find cos x if tan x= -(2 √2)/2 and sin x= √6/3

A:

Q: 1. When does csc z = 2? 2. When does tanʼr = 1? 3. When does cotx = 0? 4. When does secx = -2?

A: Trigonometric equation

Q: if sinx=1/8 and x is in quadrent 1, then cos(180-x)=???

A: Simplify cos(180-x),

Q: Verify the identity.  (1 − (cos x)2)(sec x)2 = (tan x)2   (1 − (cos x)2)(sec x)2 = (_______)/(cos…

A: We can use trigonometrical identity in order to solve the given problem.

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 8, tan(x) < 0 %3D sin(2x)…

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Q: . Prove only 1 of the 2 identities given. sin x 1-cosx = 2 csc x 1-cos x sinx -) 1- sin? x – sin² y…

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Q: 1. Verify the expression cos(x) + sin x tan x = secx.

A: Given, cos x + sin x tan x = sec x

Q: Verify: cos x+4 cos x+4 2 sec x+1 %D cos x+2 sec x

A: Given,  cos2x+4cosx+4cosx+2= 2secx+1secx  We have to verify relationship.

Q: Verify the identity. sin 3x 1 = 2 cos x- %3D sec x 2 - sin 2x

A: Given: Verify the identity sin3xsin2x=2cosx-12secx for verifying given identity we solve left hand…

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.