Write the given expression as an algebraic expression in x. sin(2 tan-'(x))

Q: Verify the identity: 1-cos 2x !! tan x sin 2x

A: The given identity is 1-cos2xsin2x=tanx.

Q: Is sin-1 x the same thing as1/sin x?

A:

Q: Verify the identity. csc(x) cos²(x) + sin(x) = csc(x)

A: The given identity is cscxcos2x+sinx=cscx.

Q: Verify the identity: 1- sin(2x) 1- tan x cos(2x) 1+ tan x

A: LHS: 1-sin(2x)cos(2x)=cos2x+sin2x-2sin(x)cos(x)cos2x-sin2x ( as…

Q: Write the expression as an algebraic expression in x for x > 0: tan(sin' x)

A: NOTE: Refresh your page if you can't see any equations. . consider the right angle triangle in the…

Q: Verify the identity: (cos 3x - cos x)/(sin 3x + sin x) = -tan x.

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Q: Find the exact value sin[sin^-1(-4/5)-tan^-1(3/4)]

A: Use relation between sin-1 and tan-1   The expression is re written as,

Q: liu cos? (x) 1- sin (x)

A: Formula used: Sin2x + cos2x = 1 a2 - b2 = (a - b)(a + b)

Q: Establish the identity. sin =1- sin x

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: The given identity is, sin -x sec -x=-tan x. The objective is to verify the identity by transforming…

Q: Verify the identity : (1 - cos 2x)/sin 2x = tan x

A: Given that:   To use the angle formulae: cos 2x = cos 2 x - sin 2 x sin 2x = 2 sin x . cos x sin 2 x…

Q: Prove the identity (sin x - cos x)2 = 1 - sin 2x

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Q: Find sin 2x, cos 2x, and tan 2x if tanx=-3 and x terminates in quadrant II.

A: Giventanx=-3 and x is in II quadrantWe have to find sin 2x , cos 2x and tan 2xTo find sin 2x use…

Q: Verify the identity: sin x/(1 + cos x) = (1 - cos x)/sin x.

A: sinx1+cosx=sinx1+cosx×1-cosx1-cosx=sinx1-cosx1-cos2x     ∵a+ba-b=a2-b2=sinx1-cosxsin2x…

Q: Rewrite the expression as an algebraic expression in x. tan(sin-1(x))

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Q: Write the expression as an algebraic expression in x for x > 0.

A: An expression is a number, variable, or a combination of numbers and variables and operation…

Q: Rewrite sin(x+π/6) in terms of sinx and cosx Enclose arguments of functions in parentheses. For…

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Q: Verify the identity: sin 2x = 2tan x /(1 + tan2 x).

A: Given The identity is sin(2x)=2tan x1+tan2x

Q: Write the expression as an algebraic expression in x for x> 0: tan(sin x)

A:

Q: Find the exact value of the expression. tan(sin−1(-1/2)-cos-1(-1/2))

A: According to the given information it is required to calculate the exact value of the expression:

Q: If x = 5 tan theta ,  Write the expression  theta / 2 - sin 2 theta /4 in terms of x

A: Known fact: sin2θ=2tanθ1+tan2θ

Q: 3. If 180° < x< 360°, and sinx - Find the exact value of cos

A: The trigonometric formulas are sin2x+cos2x=1 and cosx=2cos2x2−1.

Q: Prove sin (90◦+x) + sin (90◦−x) = 2 cosx

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

A: see 2nd step.

Q: tan(x²) D, secx

A:

Q: Find the exact value of the expression whenever it is defined.

A: To find the exact value of the expression whenever it is defined.    a) sin 12sin-1 -725b) cos…

Q: Verify the identity: csc x cos2 x + sin x = csc x.

A: the given identity is: cscx cos2x+sinx=cscx we have to verify the identity.

Q: Find sin 8x given that tan 4x 24 and <,x < 4 - 8.

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Q: Write the expression as an algebraic expression in x for x >0: sin (2 sinx)

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Q: If x = 4 tan θ, express sin θ in terms of x.

A: Given that: x=4tanθ To solve the given trigonometric function,…

Q: Verify the identity. sin(-x)+cos(-x) = − sin x + cos x

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

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Q: practice question, I attached a photo

A: In order to compute the tan theta value, use the fact sin2 x + cos2 x = 1 .

Q: I am very confused about this concept. Any help would be great.   Thanks much.

A: Given expression is Let Plugging the value in the expression:

Q: If 0 &lt; x ≤1, write cos(sin-1 x) as an algebraic expression in x.

A:

Q: If tan x = -1/3, cos x > 0,, then sin 2x = ; cos 2x = tan 2x =

A:

Q: tan x sin 2x 2([ ? ]([])?

A: Given,       tan x sin 2x

Q: Verify that (sin(x) – cos(x)) = 1- sin(2x)

A: sinx-cosx2=sin2x-2sinxcosx+cos2x     ∵a-b2=a2-2ab+b2=sin2x+cos2x-2sinxcosx=1-sin2x…

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: Given sinθcscθ-sinθ=cos2θ

Q: Verify the identity: (sin3 x - cos3 x)/sin x - cos x = 1 + sin x cos x

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: While proving trigonometric equations using the identities, we should see the function on the left…