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

Q: Let a, b, c be real numbers. If ax' + bx +c = 0 has two real roots a, B where a 1, then show that…

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Q: Lan: prove (:) - - 4. sin x tan =1- cos x

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Q: 4). Evoluate 2. (88e0 COS X cot x)dx 4

A: Definite integration

Q: 4. -1 -1 Sec(tan 1 C8C 1)

A: Given Data: Trigonometric Function: sectan-11+csc-11 The measure of the tangent of 45° is,…

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: (9) The value of sec4 x tan³ x dx is. tan6 x A)- tan* x 4 6 + +C B) sec¹ x + TUTTERS 6* C secx + C…

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Q: c) √2 cos²x - COS X = 0 =

A: ​2​cos2x−cosx=0cosx(2​cosx−1)=0Case 1:cosx=0cosx=0⟹x=2π​,23π​,...Case…

Q: Solve

A: Accordingly match the option from answers.

Q: show that 2 tan 1/3 + tan 1/7 =n/4

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Q: Find if y = tan- 5). Select one: A. 1-) В. 1+ (1 – 2)* C.d - 2 O D. I+ (1 - 1)* OE.+ (1-)

A: Given function is We know that derivative of tan inverse x is 1/1+x^2,so

Q: Hw)if J-0-Gso and X=e+Case Show thnt Sece+tan 0

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Q: 2. tan 4 0 + tan ² 0 = sec4 0 – sec ² 0

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

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Q: 11) Prove cos+x -sinfx = cos 2x

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Q: Solve: facosz please Cos x da (show Steps!) X COS X

A: Our Aim is to integrate ∫x cos (x) dx-(i)

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: 8. Prove that tan? 0 + cos? 0 + sin² 0 = sec² 0. %3D

A: Explanation and solutions is given below....

Q: 3) 3 sin x + 5 sec x tan x COS X dx

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

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Q: tan-1 3

A: tan-133