For the right triangle with right , prove that . Note that and are the same and that as shown in ; also, and have thesame meaning.

What will be an ideal response?


With and , we see that or .

Then . By using the Pythagorean Theorem, we know that . It follows that , so .


Mathematics

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You got a birthday gift of $34.94, which you choose to spend on music.You pay $12.50 for an iPad app that lets you download songs for $1.02 each. How many songs can you download before your birthday money is used up?   ?

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Mathematics

Find the indicated Simpson's Rule approximations to the integral. Round to 5 decimal places. using n = 4 and n = 8 subintervals

A. 27.14270 for n = 4; 27.14715 for n = 8 B. 81.44146 for n = 4; 40.71405 for n = 8 C. 27.14715 for n = 4; 27.14270 for n = 8 D. 40.71405 for n = 4; 81.44146 for n = 8

Mathematics

Use the Root Test to determine if the series converges or diverges.

A. Converges B. Diverges

Mathematics

Use periodic properties of the trigonometric functions to find the exact value of the expression.tan 13?

A. 1 B. undefined C. -1 D. 0

Mathematics