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In a right-angled triangle, if tan θ = ¾, what is cos θ – sin θ…

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In a right-angled triangle, if tan θ = ¾, what is cos θ – sin θ?

  • A. 4/5
  • B. 1/5
  • C. 2/5
  • D. 3/5

QUICK ANSWER…

B

SOLUTION 

A right-angled triangle is a triangle which has one of its angles as 90 degree.

In such case, we can correctly use SOHCAHTOA to resolve it.

For this question, we would draw a sketch where the opposite side will be 3 and adjacent side 4.

RELATED!  2019 JAMB-UTME mathematics question 18
In a right-angled triangle, if tan θ = ¾, what is cos θ – sin θ

Now for the right answer to the above question:

  1. Option A is incorrect.
  2. Option B is correct.
  3. C is incorrect.
  4. D is not the correct answer.

KEY-POINTS

You may please note these/this:

  • A right-angled triangle has one of its angles as 90 degree, and obeys SOHCAHTOA.
  • SOHCAHTOA is only applicable to a right-angled triangle.

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/ culled from 2015 JAMB-UTME mathematics past question 29 /

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