tan4 theta + tan2 theta = sec4 theta - sec2 theta

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A: What is csca if seca=-43 and tana&lt;0?

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Q: show that tan4 theta + tan2 theta = sec4 theta - sec2 theta

A: Given expression: tan4θ+tan2θ=sec4θ-sec2θ Taking L.H.S of the above expression tan4θ+tan2θ…

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A:

Q: tan 4x + Sec32)

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A: Here we integrate using substitution method.

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Q: Verify the identity:(1 - tan2 x)/(1 + tan2 x)= cos 2x

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Q: Prove Cos2x=1-tan^2x/1+tan^2x

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Q: Verify the identity: tan (π/4 + α) - tan (π/4 - α) = 2 tan 2α

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Q: Evaluate tan (7x +1) sec³(7x +

A: Given that: ∫tan5(7x+1).sec3(7x+1)dx

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A:

Q: Find sec(θ) if tan(θ) = 12/5 and θ terminates in QI. sec(θ) =

A:

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

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Q: S 5 sec²(0) tan²(0) 25 - tan²(0) de

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Q: Show that tan3x tan 2x tan x = tan3x – tan 2x – tan x %D

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

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Q: Verify the identity. (Simplify at each step.) tan4 x = tan² x sec² x - tan² X tan4 x = (tan² x) = =…

A: I have appended the formula used in the solution part of the question

Q: compute without using a calculator.

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Q: How does ±√((csc^2x-1)/(csc^2x)) equal on of these: secx, cosx, sinx, tanx, cotx, cosx, or 1

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Q: Slmplify. tan 5a+tan æ 1-tan 5¤-tan æ tan 4x tan 6x tan (-6x) tan 11x

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A:

Q: find the exact value tan33 - tan3 1 + tan33tan3

A: The given trigonometric expression is,

Q: (B) Evaluate | tan (7x +1) sec³(7x +1) dr.

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Q: Find the exact value of sec (-660)°. 2

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Q: Use the substitution t= tan to show that secx+ tanx = tan (4+3). %3D

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A: the given integral,        ∫tan(4x+3) dx

Q: 4. tan²B + 1 = sec² B

A:

Q: Verify (1 − sin2 θ)(1 + tan2 θ) = 1

A: Using basic trigonometric formulas we can verify the given expression.

Q: Evaluate /5 sec(8 x)dx In(tan(8 x)+sec(8 x)|) + c 8. 5 In(|tan(8 x)+sec(8 x)|) + c 8. 05 In(|tan(8…

A: By using proper substitution and formula integral can be easily solved.

Q: Evaluate tan x + 4 if tan x = -2.

A: We can evaluate the answer as below

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Q: SHow that  tan4 theta + tan2 theta = sec4 theta - sec2 theta

A:

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

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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.