1) Define the three trigonometric ratios (sine, cosine, and tangent) using opposite side, adjacent side, and hypotenuse)

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

8 0

Answers:

sin(angle) = opposite/hypotenuse
cos(angle) = adjacent/hypotenuse
tan(angle) = opposite/adjacent

These three ratios are often expected to be memorized or written on a flashcard, or reference sheet. I recommend memorizing them as they will come up quite often in trigonometry.

One way to remember is to use phrase "SOH CAH TOA" which could sound like "soak a toe-a" when you pronounce it out.

SOH = sine opposite hypotenuse

CAH = cosine adjacent hypotenuse

TOA = tangent opposite adjacent

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. Here is an equation 2x + 9 = -15. Write three different equations that have the same solution as 2x + 9 = -15. Show or explain

Anettt [7]

Answer:

1. $x-3=-15$
2. $2x=-24$
3. $2x-3=-27$

Step-by-step explanation:

Given the following question:

$2x+9=-15$

To find three equations that have the same solution as the given equation we have to first solve the equation.

$2x+9=-15$
$9-9=0$
$-15-9=-24$
$2x=-24$
$2x\div2=x$
$-24\div2=-12$
$x=-12$

Equation one:
$x-3=-15$
$-3+3=0$
$-15+3=-12$
$x=-12$

Equation two:
 $2x=-24$
$2x\div2=x$
$-24\div2=-12$
$x=-12$

Equation three:
$2x-3=-27$
$-3+3=0$
$-27+3=-24$
$-24\div2=-12$
$x=-12$

Hope this helps.