dylanstaggs1 dylanstaggs1
  • 22-06-2020
  • Mathematics
contestada

Find sin 2x, cos 2x, and tan 2x if sinx =
5
13
and x terminates in quadrant I.
ala
sin 2x
U
х
cos 2x
=
tan 2x
10

Find sin 2x cos 2x and tan 2x if sinx 5 13 and x terminates in quadrant I ala sin 2x U х cos 2x tan 2x 10 class=

Respuesta :

maxwellekoh
maxwellekoh maxwellekoh
  • 22-06-2020

Answer:

12/13 ; 5/13; 12/5

Step-by-step explanation:

sinx =5/13 =opposite/ hypothenus

By Pythagoras rule the hypothenus side can be obtained as

√ 13^2 -5^2 = √169 -25 = √144 = 12

cos x= adjacent/ hypothenus = 12/13

Now Cos2x= Sinx

And Sin2x = Cosx

Hence ;

Sin2x=12/13

Cos2x =5/13

Tan2x= Sin 2x/ Cos 2x

= 12/13 ÷ 5/13

= 12/13 × 13/5 = 12/5

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