5.3 apply the sine and cosine ratios we will look at the tangent ratio tomorrow!
TRANSCRIPT
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5.3Apply the SINE and
COSINE ratios
We will look at the TANGENT ratio tomorrow!
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Sine and Cosine Ratios Are trigonometric ratios for acute
angles that involve the lengths of a leg and the hypotenuse of a right triangle.
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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
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Sine and Cosine Ratios
H
AC
H
OS
OPPOSITE
HYPOTENUSE
ADJACENT
HYPOTENUSE
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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)
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Find COSINE ratios Find cosX and cosY. Write each answer as
a fraction and as a decimal rounded to four places.
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Extra Practice Find sinA and sinB.
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Extra Practice Find cosA and cosB.
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Find side lengths using SINE and COSINE
Find x. Round to the nearest tenth.
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Extra Practice Find the value of x. Round to the nearest
tenth.