By using trigonometric substitution そる x = 2 tan A 4+1

Q: Suppose ? is a real number.  If tan(?) = x/4, compute sin⁡(?).

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Q: 4. Use the power-reducing formulas to write sin?xcos²x in terms of the first powers of cosine.

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Q: Given that sinX is -4/5 in Q4 find tan2x

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Q: Use the power-reducing formulas to rewrite the expression sin4 x cos2 x in terms of first powers of…

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

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Q: Determine whether the statement is true or false. Justify your answer. Because tan(3π/4) = −1,…

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

A: Our Aim is to verify the identity given below:-tan (-θ) + cot -θtan θ=-cosec2 θ -(i)

Q: Use the power-reducing formulas to rewrite the expression sin2 x cos2 x as an equivalent expression…

A: Given that: The expression is sin 2 x cos 2 x  .

Q: Which hyperbolic identity corresponds to the trigonometric identity                    sin2x = (1 −…

A: Given

Q: can you guide me though the proof of the double-angle formula for tan2X = 2tanX/1-tan^2X ?

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Q: Write an equivalent expression for sin4 x that does not contain powers of trigonometric functions…

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Q: Using appropriate substitution, [sec (2x) – 1] tan(2x) dx is equal to

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Q: By using substitution method, evaluate [5 tan' x sec?x dx.

A: Consider the integral  ∫5tan4xsec2xdx

Q: Evaluate without a calculator sin (tan-1 1/√5)

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Q: determine which of the two values is greater.a. tan 1 or tan 2 b sin 1 or tan 1 c. cos 2 or sin 2

A: a) tan(1) or tan(2) :       We find exact values of tan(1) and  tan(2) on calculator,…

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

A: To verify identity: 1-sin2θ1+tan2θ=1 Verification: We know that, sin2θ+cos2θ=1…

Q: Evaluate tan" (32) sec"(3e) dz. sec" (Зa) da.

A: Here we integrate using substitution method.

Q: The expression 1 + tan² x is equivalent to

A: Here given expression 1+tan²x we know that tanx = sinx/cosx and sin²x+cos²x=1 So tan²x = sin²x/cos²x…

Q: Use trigonometric substitution to compute do o 1+ sin? 0*

A: Final answer is π/sqrt(2).

Q: Employ the substitution method to evaluate a | sin(60) do

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

A: To verify the identity,  secθ-cos(θ)=tan(θ)sin(θ) Consider the left hand side of the equation,…

Q: *Sketch : 3 sin (x-Tt/4) +2 إضافة ملف

A: y=3sin(x-π4)+2

Q: Rationalize denominators when applicable. Tan θ, given that cot θ=-2.5

A: Given that cot θ = –2.5To find: tan θ

Q: Evaluate the expression tan(20); cos(0) %3D

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Q: If you are going to evaluate the x²+16 using trigonometric substitution, the answer is =-csc*Ø + C,…

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Q: Rewrite tan sin" as an algebraic expression in v. 9+v tan sin 9 + v ?

A: To rewrite the below expression as an algebraic expression in v.

Q: Determine the exact value of 2 sin 60° x tan 30°.

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Q: Using appropriate substitution, [sec (2x) + 1] tan(2x) dx is equal to

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Q: tan(x²) D, secx

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Q: Evaluate, using the tables if necessary. sec 180° + sin 270° - tan 180° + cot 270. -2 -1

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Q: Determine if the statement is true or false. tan  2A/ 2=  tan A

A: Given expression: tan2A2=tanA Tale left hand side the given expression: tan2A2 We know that…

Q: simplify

A: We have to simplify  of the given expression

Q: Use an addition or subtraction formula to write (tan33°+tan17°)/(1−tan33°tan17°) as a trigonometric…

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Q: Given that tan(x)=−3.4, what is tan(−x)?

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Q: Write the expression as a single trigonometric fund cos 2x cos 8x - sin 2x sin 8x

A: We have the expression as cos 2x cos 8x -sin 2x sin 8x

Q: Given that tan(x)=6.57, what is tan(−x)?

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Q: Determine the exact value of 2 sin 60° x tan 30°

A: NOTE: Refresh your page if you can't see any equations. . ................(1) as we know,…

Q: Use the addition formulas for tangent to simplify the expression. [tan(e + 77)][tan(0 – 77)] + 1

A: Explanation of the solution is given below...

Q: Write an equivalent expression for sin4x that does not contain powers of trigonometric functions…

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Q: The expression sec (z) - tan (z) is equivalent to

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Q: Make a table of ordered pairs using values of θ that are multiples of 45°. r = sin(2θ)

A: Given that r = sin(2θ) θ (r,θ) 0 (0,0) 45 (1,45) 90 (0,90) 135 (-1,135) 180 (0,180)…

Q: Show that sin 2x Þ 2 sin x by substituting 30 degree for x and then simplifying both sides.

A: To prove: sin2x≠2sinx For x=30°

Q: Using an appropriate substitution | tan³x sec7xdx is equal to

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Q: Recall that sin2 θ means (sin θ)2. If tan θ = 3, find tan3 θ. tan3 θ =

A: Given information

Q: If tan x = 1, why sin x = sqrt(2)/2 instead of 1/sqrt(2)?

A: Given : tanx = 1

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

A: Given sinθcscθ-sinθ=cos2θ

Q: Find x if it is the measure of an acute acute in a right triangle and tan x =0.7846.

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Q: Use the power-reducing formulas to rewrite the expression sin2 x cos2 x as an equivalent expression…

A: Given expression sin2xcos2x  To rewrite the expression  sin2xcos2x as an equivalent expression that…