5.3 Apply the SINE and COSINE ratios We will look at the TANGENT ratio tomorrow!
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5.3 Apply the SINE and COSINE ratios We will look at the TANGENT ratio tomorrow!
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Transcript of 5.3 Apply the SINE and COSINE ratios We will look at the TANGENT ratio tomorrow!
5.3Apply the SINE and
COSINE ratios
We will look at the TANGENT ratio tomorrow!
Sine and Cosine Ratios Are trigonometric ratios for acute
angles that involve the lengths of a leg and the hypotenuse of a right triangle.
Sine and Cosine Ratios Let ΔABC be a right triangle with acute A.
The sine of A and cosine of A (written as sinA and cosA) are defined as follows:
AB
BCA
hypotenuse of lengthA opposite leg of length
sin
A
B
C
AB
ACA
hypotenuse of lengthA adjacent leg of length
cos
Sine and Cosine Ratios
H
AC
H
OS
OPPOSITE
HYPOTENUSE
ADJACENT
HYPOTENUSE
Find SINE ratios Find sinX and sinY. Write each answer as
a fraction and as a decimal rounded to four places (the ten-thousandth place)
Find COSINE ratios Find cosX and cosY. Write each answer as
a fraction and as a decimal rounded to four places.
Extra Practice Find sinA and sinB.
Extra Practice Find cosA and cosB.
Find side lengths using SINE and COSINE
Find x. Round to the nearest tenth.
Extra Practice Find the value of x. Round to the nearest
tenth.
