When working with trig functions, especially those having a phase shift, it may be easier *not* to use the graphing calculator.You can use the Mathway widget below to practice finding the amplitude, period, and phase shift. Try the entered exercise, or type in your own exercise. Then ...
Your calculator will give you an answer of around 55°, but that’s just one out of infinitely many. You know from equation 22 that sin(180° − x) = sin x, and since 180° − 55° = 125°, sin 125° = sin 55. But all the trig functions are periodic, repeating every 360...
Use your calculator. Type in 39 and then use the "sin" key. That's easy! sin(39°) = 0.6293... So now we have: 0.6293... = d / 30 Now we rearrange it a little bit, and solve: Start with:0.6293... = d / 30 Swap sides:d / 30 = 0.6293... Multiply both sides by 30...
Graph the sequence as it appears on the graphing calculator. Show Solution For the following exercises, follow the steps given above to work with the arithmetic sequence an=12n+5an=12n+5 using a graphing calculator. What are the first seven terms shown in the column with the headingu(n)...
b.Show the steps for solving. log11(5)log11(5) Show Solution log6(55)log6(55) log11(611)log11(611) Show Solution Numeric For the following exercises, use properties of logarithms to evaluate without using a calculator. log3(19)−3log3(3)log3(19)−3log3(3) 6log8(2...
We can check our answers to these types of problems using a graphing calculator. To check, graph the problem as given along with the simplified answer. The two graphs should be equivalent. Be sure to use the same window to compare the graphs. Using different windows can make the expressions...
Establishing identities using the double-angle formulas is performed using the same steps we used to derive the sum and difference formulas. Choose the more complicated side of the equation and rewrite it until it matches the other side. Using the Double-Angle Formulas to Verify an Identity...
We can always check that our answers are reasonable by using a graphing calculator to graph the polynomial as shown in (Figure). Figure 5. Finding the x-Intercepts of a Polynomial Function Using a Graph Find the x-intercepts ofh(x)=x3+4x2+x−6.h(x)=x3+4x2+x−6. Show Solution ...
However, we must not forget to replace the substitution term with the original term at the end, and then solve for the unknown. Some of the points on this graph may not show up using the Trace function on the TI-84 graphing calculator, and the calculator table may show an error for ...