AmoahKwameGeoffrey
AmoahKwameGeoffrey AmoahKwameGeoffrey
  • 17-04-2022
  • Mathematics
contestada

If tanx = 0.75, find the value of
i. cos2x + sin2x
2tanx
ii.
for 0° < x < 90°
C0Sx-sinx
-

Respuesta :

sheelpant21 sheelpant21
  • 17-04-2022

Answer:

i. 31/25

ii. 1/5

Step-by-step explanation:

you know that tanx = 3/4, so you can also find that sinx = 3/5 and cosx = 4/5. Then you can use the double angle identities to find cos2x and sin2x: cos^2(x) - sin^2(x) + 2sinxcosx and substitute the givens to get 31/25. Then, cosx - sinx is obviously 1/5.

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