The best way to check if your proof is correct is to work through the steps backwards and see if you end up with the original expression. You can also use a calculator to evaluate both sides of the identity for different values of the variables. 5. Are there any tips for proving trig...
Trigonometric Identities and Equations Search for: Double-Angle, Half-Angle, and Reduction FormulasLearning Objectives In this section, you will: Use double-angle formulas to find exact values. Use double-angle formulas to verify identities. Use reduction formulas to simplify an expression. Use...
r2.(You may have to change the calculator’s settings for these to be shown.) The values are an indication of the “goodness of fit” of the regression equation to the data. We more commonly use the value ofr2r2instead ofr,r, but the closer either value is to 1, the better the ...
As we have seen in previous sections, systems of equations and matrices are useful in solving real-world problems involving finance. After studying this section, we will have the tools to solve the bond problem using the inverse of a matrix. Finding the Inverse of a Matrix We know that the...
Testing Polar Equations for Symmetry Just as a rectangular equation such asy=x2y=x2describes the relationship betweenxxandyyon a Cartesian grid, a polar equation describes a relationship betweenrrandθθon a polar grid. Recall that the coordinate pair(r,θ)(r,θ)indicates that we move counterc...