45° 24 60° Right-Triangle-Based Definitions of Trigonometric Functions Let A represent any acute angle in standard position. sin A side opposite A hypotenuse se 4- -= r hypotenuse x side adjacent to A r hypotenuse y side opposite A hypotenuse COSA =-= sec A =-= x side adjacent to A tan A cot A = x = side adjacent to A x-sideadjacenttoA, y side opposite A Function Values of Special Angles sin θ | cos θ | tan θ | cot θ sec θ cse θ 30° 阪|1|阪 V3 60°

Question

Find the exact values for the unknown sides. You can find the sides in any order.

Use the green box and the yellow table to help.

45°
24
60°
Right-Triangle-Based Definitions of Trigonometric Functions
Let A represent any acute angle in standard position.
sin A
side opposite A
hypotenuse
se 4-
-=
r hypotenuse
x side adjacent to A
r hypotenuse
y side opposite A
hypotenuse
COSA =-=
sec A =-=
x
side adjacent to A
tan A
cot A = x = side adjacent to A
x-sideadjacenttoA,
y side opposite A
Function Values of Special Angles
sin θ | cos θ | tan θ | cot θ
sec θ
cse θ
30°
阪|1|阪
V3
60°

Image Transcription

45° 24 60° Right-Triangle-Based Definitions of Trigonometric Functions Let A represent any acute angle in standard position. sin A side opposite A hypotenuse se 4- -= r hypotenuse x side adjacent to A r hypotenuse y side opposite A hypotenuse COSA =-= sec A =-= x side adjacent to A tan A cot A = x = side adjacent to A x-sideadjacenttoA, y side opposite A Function Values of Special Angles sin θ | cos θ | tan θ | cot θ sec θ cse θ 30° 阪|1|阪 V3 60°

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Trigonometric Ratios