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Q: Find sin x/2, cos x/2, and tan x/2 from the given information. csc x = 8,   90° < x < 180

A: Given cscx=8 ,where 90°&lt;x&lt;180°. Here, x lies in 2nd quadrant, so sinx will be positive but…

Q: Show that tanθ + cotθ = 2 Cosec2θ

A: Given query is to prove the Indicated identity.

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: Verify the identity: (cos θ sec θ)/cot θ= tanθ.

A: We have to verify cosθ secθcotθ=tanθ We know that secθ=1cosθ and cotθ=cosθsinθ Now, LHS=cosθ…

Q: Could you explain in detail how you got tan^3(theta) = 3. Thanks

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Q: Find the exact value of tan (75°). Hint: 75° = 45° + 30° %3D .

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Q: Suppose that sin(θ)=1/7. What csc(θ)=______.

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Q: Evaluate the exact value of 4 /5 tan sec 4

A: The objective is to evaluate the exact value.

Q: Verify the identity: cos θ sec θ/ cot θ = tan θ

A: Given :cos θ secθcot θ=tan θTo verify the given identity .

Q: Find the exact value of tan 15°. 4 2- 3 2+ /3

A: The option 2-3 is the correct option. Rewrite the given tangent expression. tan 15°=tan 45°-tan 30°…

Q: Verify the identity tan θ + cot θ = sec θ csc θ.

A: We have to verify tanθ+cotθ=secθ cscθ We know that tanθ=sinθcosθ and cotθ=cosθsinθ…

Q: Find the exact value of tan 15°. 9, 4 2-3 ) 2+ 3 2.

A: We have to find exact value of the trigonometric function: tan 15° Rewriting the given expression,…

Q: Verify the identity: sec(α + β) = sec α sec β/(1 - tan α tan β)

A: Given sec(α + β) =secα secβ1- tanα tanβ∵sec θ = 1cos θ ; tan θ = sin θcos θ⇒ from (1) , we get…

Q: 16. Verify sin(180° – ) = sin e (SHOW WORK)

A: We know that sin(a-b)=sina cosb-cosa sinb

Q: 1. 1+tan (0²) = sec (0²)

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Q: tan 4x + Sec32)

A: ∫(tan4x+sec3x)dx=∫tan4xdx+∫sec3xdx=14logsec4x+13log(sec3x+tan3x)+c

Q: tan 51° cos 34°

A: see 2nd step

Q: Verify the identity.   1 + 2 tan^2 θ ≡ sec^4 θ − tan^4 θ

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Q: Verify the Identity: sec^6 x (secxtanx) - sec^4 x (secxtanx) = sec^5 x tan^3 x

A: We will use trigo identity to solve this

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

A: Given, sinθ.secθ=tanθ transform leftside to rightside from trignometric formula we know secθ=1cosθ…

Q: Use a sum or difference identity to find the exact value, tan 105°

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Q: How can I prove the identity of (1+tan^2x)cot^2x=csc^2 for each step?

A: Consider the given identity (1+tan^2x)cot^2x=csc^2x

Q: Compute without using a calculator.

A: The angle 3π4 comes in the second quadrant as π2&lt;3π4&lt;π. The tangent function is negative in…

Q: Evaluate sin tan 9

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Q: 4 Evaluate tan sin

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Q: What is tan 6.

A: Given that: tan5π6

Q: 2. Find the exact value of the expression. tan(10⁰) + tan (20⁰) 1-tan(10°) tan (20⁰)

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Q: 1. tanxsins + cosx = secx

A: using trignometric identities:-

Q: Find tan theta if sin theta = 3/4 and theta terminates in QI. tan theta=?

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Q: Prove the identity. tanx+cotx=cscxsecx

A: To prove tanx+cotx=cscxsecx

Q: compute without using a calculator.

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Q: Use technology (Excel or another spreadsheet program, a graphing calculator, etc.) to evaluate…

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Q: tan (75) Using an appropriate identity, find the exact value of

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Q: 14. tan 14. tan ( cos-1

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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: Verify the identity: (tan 2θ + cot 2θ)/csc 2θ = sec 2θ

A: Given:          tan 2θ+cot 2θcosec 2θ=sec 2θ Solve;         Rearrange the given expression…

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

A: Given : secθ-cosθtanθ = tanθsecθ

Q: Use Simpsons 1/3 rule to find sinx

A: Please refer to the image below

Q: Find the exact value of tan 15°. 4 2- 2+

A: Find the exact value of tan(15°)

Q: Evaluate tan(2x) exactly if tan(x) = v7. Use will need to use angle identities. %3D

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Q: tan 20° – cos 20° cos 70°

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Q: Find tan 3. (9, 12) ? tan 3 = Give your answer in lowest terms.

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Q: Use technology (Excel or another spreadsheet program, a graphing calculator, etc.) to evaluate…

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Q: Verify the identity tan α/2 = tan α/ (sec α + 1)

A: We have to verify the identity: tan α2=tan αsec α+1 We know the relation between trigonometric…

Q: Compute without using a calculator. tan-1 (tan π)

A: Consider the provided expression, tan-1tanπ Compute the above expression.

Q: If csc(x) = 8, for 90° < x < 180°, then sin) Preview %3D cos) Preview COS %3D Preview tan 2 %3D

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