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TRIGONOMETRIC IDENTITIES AND EQUATIONSMaxАсDouble-angle identities: Problem type 1Español3and x terminates in quadrant IIIFind sin 2x, cos 2x, and tan 2x if cosx=-13Lasin 2x?cos2x=tan 2.xAa미미X

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TRIGONOMETRIC IDENTITIES AND EQUATIONS
Max
Ас
Double-angle identities: Problem type 1
Español
3
and x terminates in quadrant III
Find sin 2x, cos 2x, and tan 2x if cosx=-
13
La
sin 2x
?
cos2x
=
tan 2.x
Aa
미미
X
help_outline

Image Transcriptionclose

TRIGONOMETRIC IDENTITIES AND EQUATIONS Max Ас Double-angle identities: Problem type 1 Español 3 and x terminates in quadrant III Find sin 2x, cos 2x, and tan 2x if cosx=- 13 La sin 2x ? cos2x = tan 2.x Aa 미미 X

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check_circleAnswer
Step 1

Obtain the value of sin x as follows.

sin x =-cos2x
9
13
V13
2
Лз
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sin x =-cos2x 9 13 V13 2 Лз

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Step 2

Obtain the value of sin(2x) and cos(...

2sin xcosx
sin 2x
-
2
=2
/13
3
V13
(
12
13
cos 2x cos2x-sin2x
-
3
2
/13
V13
9 4
13
13
13
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2sin xcosx sin 2x - 2 =2 /13 3 V13 ( 12 13 cos 2x cos2x-sin2x - 3 2 /13 V13 9 4 13 13 13

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