teschanvisal teschanvisal
  • 09-07-2020
  • Mathematics
contestada

Given that sin x < cos x and 0°< x < 90°,state a possible value of x. Explain your answer clearly.

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abidemiokin
abidemiokin abidemiokin
  • 14-07-2020

Answer:

30°

Step-by-step explanation:

Given sinx< cos x and 0°< x < 90°, to get the possible value of x, we need to solve the given inequality for x.

sinx< cos x

Dividing both sides by cos x

sin x/cos x < cos x/cos x

tan x < 1

x < [tex]tan^{-1}1[/tex]

x < 45°

Since x is less than 45°, then one of the possible value of x can be 30° since 30° is less than 45° and 30° falls within the given range of values.

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