Using De Moivre's Theorem prove the following: tan(50) = 5 tan(0)-10 tan³ (0) + tan5(9) 1-10 tan²(0)+5 tan* (0)

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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,…

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A: Using differentiation rule,

Q: (a) i) Prove that 1 sin20 1 tane 1+ sin20 1+ tane for 0<0 <- 4 ii) Hence, show that the exact value…

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Q: (2) Find the exact value of the following: (i) cos-(-) (ii) tan-V3 (ii) 2tan-1+ tan-1, (iv) sec…

A: (i) cos-1(-1/2) = 2π/3 (ii)tan-1(√3) = π/3

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Q: Is it true that tan (tan-x) = x for all x? Is it true that tan-(tan x) = x for all x?

A: Given statements are tantan-1x = x  for all x. tan-1tan x = x  for all x. We have to check if these…

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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. Prove the following identities. = tan (x+2) 1tanr 1-tanx b) sin(π-x) - tan(-x) = sin2x c) secx =…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: 7. B- Show that: (1) lime-0 tan 8 (2) tan 0 sec20 =D1 %3D do

A: Solve

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Q: Determine csc(x) + cot (x) if tan x + sec(x) = 22/7. 27/12; 29/15; 24/18; 23/11

A: We can answer the question by finding the correct option as below.

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

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Q: (1) tan tan 39

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Q: 10) (a) Find the exact value of tan20 if tane = (b) Find the exact values of sinif cosa = -- 8 17 3…

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