1-To find the smallest positive root of tan x-x=0 which of the following re-arrangement is appropriate? (give the proper mathematical reason) ● ● Xn+1 = tan X₁ -1 Xn+1 = tan X₁ -1 Xn+=+tan x

Q: -1 3. Show that sin-¹x = tan X √1-x² if |x| < 1.

A: Introduction: When there are trigonometric functions present in an expression or equation,…

Q: Let Express the value of in terms of I. pn/12 0 tan ¹2 (2x) sec (2x) dx I = p/12 10 S tan ¹0 (2x)…

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Q: If tant = what is tan (t - π)? Enter the exact answer. tan (t = π) = - AY

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Q: sin 2x 10. Simplify 1-cos x (a) 2cot x (1+ cos x) (b) sin 2x (1 + cos x) (c) sin 2x (d) – 2 tan x (1…

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Q: 1 Differentiate y = tan 8x + cos ,x

A: Using differentiation rule,

Q: 4 tan(x) sec2 (x) tan(x) + 1

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Q: 16. Evaluate ft tan5 x sec¹ xdx.

A: We know that Sec²x = 1+ tan²x ∫ xn dx=( xn+1)/(n+1)

Q: Suppose that tan(x) = 2. Compute tan (x + 1).

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Q: 23. Which of the following expressions are defined? Why or why not? (a) sin-(-25 (b) sin-1 3 -1 7…

A: (a). Given expression is sin-1-125. We know that domain of sin-1x is -1,1. Here, -125=-0.04. -125…

Q: Verify. a. (2 tan x ) / (1 + tan2 x) = sin(2x) b.  1 / (1 − sin θ) + 1 / (1 + sin θ) = 2 sec2 θ c. 1…

A: Part a)Given:

Q: -1 x-1 +tan x+ n(-7) tan T+tan x-1

A: Introduction :

Q: 8. [Essay] Find the approximate values of tan44.5

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Q: Q4: Prove that: cos?x – sin?x cos²x - 1- tan?x

A: We need to prove that cos2x-sin2xcos2x=1-tan2x We will use tanx =sin xcos x

Q: 1. What is S tan x dx?

A: log|sec x|+c .

Q: 1. Write a simplified algebraic expression for sin(tan-12 x). 2. (a) tan(tan-1 x) = d - tan(x) = dx…

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Q: 2-tan a If sin(x + a) = 2 cos(x – a), then tan x 1-2 tan a True False Leave Question

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Q: 1. cos x 1 - sin x = sec x + tan x

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Q: Vrite the expression as an algebraic expression in x for x > 0. 2 tan( 2 cos

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Q: Given that tan(0) = 1, what is tan(20)?

A: Given that tan(θ)=72Formula: tan(2θ)=2tan(θ)1-tan2(θ)

Q: 1. 1-Cos? X= tan x cos x sin x 2. cos x tan3 x= sin x tan? x

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