Trigonometry & Inverse Trigonometry
Trigonometric Ratios
Grade 11

Question:

<p>Which of the following is greatest?</p>
<p>(a) sin 1</p>
<p>(b) cos 1</p>
<p>(c) tan 1</p>
<p>(d) cot 1</p>

Step-by-Step Solution

Key Concept: Compare trigonometric function values at x = 1 radian where tan reaches its maximum relative value.
<p>At x = 1 radian (≈ 57.3°), we compare the trigonometric values. Since 1 radian is in the first quadrant and tan function increases rapidly, tan 1 ≈ 1.557 is the greatest among sin 1 ≈ 0.841, cos 1 ≈ 0.540, and cot 1 ≈ 0.642.</p>
Correct Answer: C

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