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Apply compound angle formulas to verify the identity: (a) sin 4x = 2 sin2x cos2x (b) cos2x = 1- 2sin2 x (c) cos2x = cos2x – sin2x. Prove the following identities: (a) Sinx +Sin2x/1 +Cosx +Cos 2x = Tanx (b) Cotx-Tanx=2Cot2X (c) Sin 2x/SinX – Cos2x/Cosx = Secx (d) ...
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Jul 12, 2013 · Knowing cotx= 4 5 and the terminal point is in the third quadrant find secx. Unit Circle – Home Work ... Verify the Identity. co s 2 x-si n 2 x=1-2si n 2 x 88. ... cos4x+cos2x sin 4x+sin2x =cot3x 160. sin x+ sin 5x+ sin 3x cos x+ cos 5x+ cos 3x = tan 3x .
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Verify Identities (Questions 14-15) cos 4 x- sin 4 x=cos2x . tan 2 x cos 2 x+ cot 2 x sin 2 x = 1. csc 2 x-1 csc 2 x = cos 2 x (sinx-tan x)(cosx-cotx)=(sinx-1)(cosx-1) Find. all solutions of the equation -- general and . on the interval [0,2. π ) (Questions 20-21) tan 2 3x+tan3x=0 .
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Let . A={1,2,3} and ={4,5,6} , f:A→B is a function defined on f 1 =4 , f 2 = 5 and f 3 =6 . Write the inverse of f as a set of ordered pairs.Let ‘*’ be a binary operation defined on the set Z as a a*b = a+b+1 for a,b ∈ I. find the identity element.If . f x = x-1 x+1 ;x≠-1 , then find . f -1 x .
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1 Mark Questions Find the value of the following integrals Q1 (Cosec ax dx Q2 (sin x/sin[x-a] dx Q3 ( ( logx) /x2 dx Q4 ( (x+ cos6x)/(3x2+sin6x) dx Q5 (√1-4x-x2 dx Q6 ( cos2x/(sinx +cosx)2 dx Q7 ( dx/(ex+ e-x) dx Q8 ( (1+tan2 x)/(1+tanx) dx Q9 .∫ (sin2x cos2x ) / √(9-cos42x ) dx Q10 dx/(1+x2) dx Q11 (x-x3)1/3/x4 dx Q12 (cos2 x/2-sin2 x/2 ...
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Kellogg is a new cereal formed of a mixture of bran and rice that contains at least 88 gms of protein and at least 36 mg of iron. Knowing that bran contains 80 gms if protein and 40 mg of iron per kg, and that rice contains 100 gms of protein and 30 mg of iron per kg,find the minimum cost of producing this new cereal if bran costs Rs.5/-per Kg and rice Costs Rs.4/- per Kg.
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