103 trigonometry problems titu andreescu & zuming feng

... θ. A B C D Figure 1.4. Think Within the Box For two angles α (Greek “alpha") and β (Greek “beta") with 0 ◦ < α,β,α + β< 90 ◦ , it is not difficult to note that the trigonometric functions ... addition and subtraction formulas defined for angles α and β with 0 ◦ <α,β<90 ◦ and α + β<90 ◦ . Under our general definitions of trigonometry functions, we can expand these formu...

Ngày tải lên: 15/03/2014, 15:30

... Interval Estimation θ 1 α − $ ( ; ) U θ ε −∞ + 0 U ε > $ ( ) 1 U P θ θ ε α −∞ < < + = − θ 1 α − $ ( ; ) L − +∞ θ ε 0 L > ε $ ( ) 1 L P − < < +∞ = − θ ε θ α Point Estimation Example ... x µ µ 1 2 , θ θ 1 2 ,t t 1 2 1 2 ( , ) ( )t t t t θ < < 1 α − $ θ θ 1 α − $ $ ( ; ) θ ε θ ε − + 0 ε > $ $ ( ) 1P θ ε θ θ ε α − < < + = − Single Sample: Estimating a Proportion...

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