1 .Prove that : sec q + tan q = 2x or, 4x If sec q = x+ 2x

Q: Show that Sinx+sin3x+sin5x/cosx+cos3x+cos5x=tan3x For all x for which tan 3x is dedined. Does this…

A: given that                      sinx+sin3x+sin5xcosx+cos3x+cox5x=tan3x and we have to proof…

Q: What is the value of sec e? (Picture is not to scale.) 3

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Q: 18. Use periodicity to express sec in p given that sin

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Q: бл What is the approximate value of tan 5

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Q: a tan-" u du = 3u² + 1)tan-" u - +C 55.

A: To prove that, ------ (1)

Q: Determine 3 sec(9x) tan (9x) dx

A: We have to determine the value of integral: ∫3 sec 9x tan 9x dx Solving given indefinite integral by…

Q: 6. By using u = tan 0, evaluate | tan 0 sec*e de .

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

A: Multiply the left side of the equality by (sect-1) in the numerator and the denominator.

Q: tan 2x = √3/3

A: Trigonometric

Q: tan x + √ 3 = 0

A: To solve for x.

Q: y = -2 - tanx + 4

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Q: if Sec X = 2 then tanx +Cos X =

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Q: 5. tan° x sec x dx

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Q: given that sin(x-A)=2cos(x+A) Show that tan x= 2tanA/1+2tanA

A: Formula used:

Q: If sec A + tan A = x then sec A is? " 2 points x2 + 1 x² +1 х 2x Option 1 Option 2 x2 - 1 x? – 1 2x…

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Q: Q1// prove one only: tan²x-1 tan²x+1 = 1-2cos²x

A: Topic = Trigonometry

Q: (tan 4x + sec 3x) dx

A: Answer is mentioned below

Q: 4т f tan tan 9.

A: tan-1tan(x)= x hence tan-1tan-4π9= -4π9

Q: If, Sec t-1/sec t +1 = A-cos t/A+cos t Then A =

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Q: Find sec2x if sin x = 6/10 and sec x < 0

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Q: 13. Write sin(tan-)) ; x > 0, as an algebraic expression of r. 49 + x² iv) 7 ii) 49 + x² iii) 49 +…

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Q: Manipulate In|sec x + tan x|| so that it is expressed as a difference of logs.

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Q: Use substitution to evaluate the integral 4 sec2 4xvtan 4xdx 4 (tan 4x) + C 3 15 (tan 4x) + C 2 (tan…

A: Given query is find the value of the integral.