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Solve sin (α /7) =0 .
Solution
By Using a unit circle it isn't too difficult to see that the solutions to this equation are,
α /7 = 0 + 2 ? n ⇒ α = 14 ? n
α = 7 ? +14 ? n n= 0, ±1, ±2,............
α /7 = ? + 2 ? n
This next example has significant point that needs to be understood when solving some trig equations.
1. Consider a source with 4 symbols {a,b,c,d}. The probability of the 4 symbols are P(a)=0.4, p(b) = 0.1, p(c)=0.2, p(d)= 0.3. a. Design a Huffman codebook for these symbols.
If z=re i ? ,find the value of |e iz | Solution) z=r(cos1+isin1) |e iz |=|e ir(cos1+isin1) |=|e -rsin1 |=e -rsin1
7 3/4-3 5/6=
8l550ml - 1/4l =
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If p=10 when q=2,find p when q=5
Rebecca is 12.5% taller than Debbie. Debbie is 64 inches tall. How tall is Rebecca? Because Rebecca is 12.5% taller than Debbie, she is 112.5% of Debbie's height (100% + 12.5%
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If the vertices of a triangle are (1, k), (4, -3), (-9, 7) and its area is 15 sq units, find the value(s) of k..
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