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1 mark

What is the value of (
2
1

−cot45

)?

  1. A
    \frac{2\sqrt{2}-3}{2}
  2. B
    3/2
  3. C
    \frac{3\sqrt{3}-1}{3}
  4. D
    -1/2

Solution & Step-by-step Explanation

We know from trigonometric standard values that:
cot45

=1
Substituting this value into the expression:

2
1

−cot45

=
2
1

−1=−
2
1

Practice this question

Try it yourself before checking the explanation above.

What is the value of (
2
1

−cot45

)?
A
\frac{2\sqrt{2}-3}{2}
B
3/2
C
\frac{3\sqrt{3}-1}{3}
D
-1/2

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