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

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• A. 4/5
• B. 1/5
• C. 2/5
• D. 3/5

B

## SOLUTION…

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

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

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

### 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.
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## KEY-POINTS…

• 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 -UTME mathematics past question 29 /

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