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Differences

Trigonometry

- depends on angle and side measures

- not used on right triangles

- calculator formulas: sine, cosine and tangent

The Pythagorean Theroem

- Formula: a^2 + b^2 = c^2

- defined right angle

- only able to find side legnths

- mainly uses square roots

Pythagoreon Theorem vs. Trigonometric ratios

Similarities

c

4

Pythagorean Theorem:

Find the value of C in the following figure.

Solution:

Let a = 4 cm and b = 12 cm

Apply the given values into the formula

a^2 + b^2 = c^2

42 + 122 = c^2

160 = c^2

c = 12.6

Trigonometry

First we must acess where x is in correlation to the other given numbers are.

Now that we know x is opposite the 40 degrees and adjacent to the 350ft, we can determine with trigonometry formula to use.

tan(x)= O/A is the correct formula.

Now we apply the formula and enter it in the calculator.

tan(40)= x/350

However we enter it in the calculator as 350*tan(40)

The outcoming answer is 293.69

12

x

40

350 ft.

- both dealing with triangles

- both can find a missing side

- angles can be used to determine missing side

Problems

Pythagorean Theorem and Trigonometry:

to find D we must use the Trigonometric ratio cosine

the equation is set up as cos(38)=d/300

set up on the calculator as 300cos38=d

236.4=d

To find h we must use the Pythagorean Theorem

a^2+b^2=c^2

236.4^2+h^2=300^2

55884.96+h^2=90000

h^2=34115.04

300

h

38

d

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