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Show that cos12+cos60+cos84=cos24+cos48 , L.H.S. =cos 12+cos 60+cos 84 =c...

L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12   R.H.S =c

Find the values of a and b, The midpoint of the line joining (2a, 4) and (...

The midpoint of the line joining (2a, 4) and (-2, 3b) is (1, 2a +1).Find the values of a & b. (Ans: a = 2, b = 2) Ans :   A(2a, 4)           P(1, 2a + 1)                 B(-2,

Michael has 16 cds how many cds does kathleen have, Michael has 16 CDs. Th...

Michael has 16 CDs. This is four more than twice the amount that Kathleen has. How many CDs does Kathleen have? Let x = the number of CDs Kathleen has. Four more than twice th

Trignometry: sin-3x, sin(2x+x)=sin2x.cosx+cos2x.sinx              =2sinxco...

sin(2x+x)=sin2x.cosx+cos2x.sinx              =2sinxcosx.cosx+(-2sin^2x)sinx              =2sinxcos^2+sinx-2sin^3x             =sinx(2cos^2x+1)-2sin^3x =sinx(2-2sin^2x+1)-2sin^3

Fractions, kim had 1/2 an orange. she gave Linda 1/4 of this. What fraction...

kim had 1/2 an orange. she gave Linda 1/4 of this. What fraction of the whole orange did Linda get?

Limits-of-sum, limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and...

limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and 2 to 2x and apply the limit from 0 to 2 answer is 12.

Function that computes the product of two matrices, Write a function that c...

Write a function that computes the product of two matrices, one of size m × n, and the other of size n × p. Test your function in a program that passes the following two matrices t

Millie purchased six bottles of soda how much she pay, Millie purchased six...

Millie purchased six bottles of soda at $1.15 each. How much did she pay? To ?nd out the total cost of six bottles, you must multiply the cost per bottle through 6; $1.15 × 6 =

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