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sin3θ = cos2θ find the most general values of θ satisfying the equatios?sinax + cosbx = 0 solve ?Solution) sin (3x)= sin(2x + x)= sin(2x)cos(x) + cos(2x)sin(x)= 2sin(x)cos(x)cos(x) + (1 - 2sin² (x) ) sin(x)= 2sin(x)cos² (x) + sin(x) - 2sin³ (x)= 2sin(x) ( 1 -sin² (x) ) + sin(x) - 2sin³ (x)= 2sin(x) -2sin³ (x) + sin(x) - 2sin³ (x)= -4sin³ (x) + 3sin(x)= 3sin(x) - 4sin³ (x)
Q. Graphs of Sin x and Cos x ? Ans. The sine and cosine functions are related to the path that an object might take around a circle. Suppose a dolphin was swimming over
Example of Fractional Equations: Example: Solve the fractional equation (3x +8)/x +5 =0 Solution: Multiply both sides of the equation by the LCD (x). (x) ((3x
Find the normalized differential equation which has {x, xex} as its fundamental set
Tom is cutting a piece of wood to form a shelf. He cut the wood to 3.5 feet, but it is too long to fit in the bookshelf he is forming. He decides to cut 0.25 feet off the board. Ho
Solve the subsequent IVP. y′′ + 11y′ + 24 y = 0 y (0) =0 y′ (0)=-7 Solution The characteristic equation is as r 2 +11r + 24 = 0 ( r + 8) ( r + 3) = 0
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John is planning to buy an irregularly shaped plot of land. Referring to the diagram, determine the total area of the land. a. 6,400 m 2 b. 5,200 m 2 c. 4,500 m 2 d.
Calculate the mean, variance & standard deviation of the number of heads in a simultaneous toss of three coins. SOLUTION: Let X denotes the number of heads in a simu
all formulas of plane figures
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