Extended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, musicProperty Set 9 nsin(θ−ϕ),n≠ 1, ( θ − ϕ) = n s i n ( θ − ϕ), n ≠ 1, then the value of tanθ tanϕ tan θ tan ϕ is equal to Answer 6 If tan θ 2 = 1 2 θ 2 = 1 2 ,then the value of sin θ θ is Answer 7 If x=52 x = 5 2 sec θ θ and y=52 tan θ, y = 5 2 tan θ, then (x−5)2−(y−5)2 ( x − 5) 2 − ( y − 5) 2 isThe integral of tan 2x is (1/2)ln cos 2x C which can be calculated using the substitution method followed by integral of tan x formula or by expressing tan 2x in terms of sin and cos Mathematically, the integral of tan 2x is written as ∫tan 2x dx = (1/2)ln cos 2x C, where C is the constant of integration, dx shows the integral of tan 2x is with respect to x and ∫ is the sign of
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1+tan^2x is equal to
1+tan^2x is equal to- (tan(x))2 = tan2x Explanation Expressions like sin2x, cos2x and tan2x are really shorthand for (sin(x))2, (cos(x))2 and (tan(x))2 respectively Note that if conventions are not clear, then when we write tanx2 we could intend tan(x2) or (tan(x))2 So the popular practice is to write tan2x when we mean (tan(x))2 and tan(x2) when we mean tan(x2)BA in Computer Engineering (college major) & Mathematics, American University in Cairo (Expected 23) 5 y Let’s change this formula of We know Tan (2X) = (2 Tan (X)/ (1Tan^2 (X)))^2 1Tan^2 (X)= 1–1sec^2 (X)=Sec^2 (X) To distribute power two to even single variable It
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The formula for tan 2x, in terms of sine and cosine functions is Tan 2x = Sin 2x / Cos 2x Tan 2x = (2 sin x cos x) / (cos2 x – sin2 x) Now, substitute the known values in the formula, we get Tan 2x = 2 (5/12) (3/12) / (9/144) – (25/144) Tan 2x = (30/144)/ (16/144) Tan 2x = 30/16, which on simplification, we get Tan 2x = 15/8(Tan2x)^2 = (Sin2x)^2 ÷1 (sin2x)^2 Put sin2x=2sinxCosx Now Your ans will be in terms of sin and cosine Sponsored by FinanceBuzz We've put together a list of 8 money apps to get you on the path towards a bright financial future Ana L Losey See how ITan 2x is a doubleangle trigonometric function that can be represented as tan x, sin x, and cos x The tan angle formula is used to calculate the angle of a right triangle It has been found that the tangent to the angle of a right triangle is equal to the length of the opposite side divided by the length of the adjacent side
1tan^2 (x) = 1 (sin 2 x)/ (cos 2 x) = cos 2 x sin 2 x/cos 2 x = cos 2x/cos 2 x is a posibly 'simplified' version in that it has been boiled down to only cosines Simplify has a particular meaning in mathematics to rewrite with as few symbols as possible Mark, I made a credible try to find an equivalent expression, and attempted toA tan 2 x b = c sec 2 x = c ( 1 tan 2 x) a t a n 2 x − c t a n 2 x = c − b tan 2 x = c − b a − c Hence, option (1) is correct Download Solution PDF Share on Whatsapp With hundreds of Questions based on Trigonometry, we help you gain expertise on Mathematics All for free Explore Testbook Learn to attain the subject expertise with usThe expression tan 5x tan 3x tan 2x is equivalent to 1) tan 5x – tan 3x – tan 2x 2) (sin 5x – sin 3x – sin 2x)/ (cos 5x – cos 3x – cos 2x)
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