This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
Here's how to solve the problem:
i) The size of angle
Step 1: Use the given tangent value to find . We are given . To find , we take the inverse tangent of both sides.
Step 2: Calculate the value of . We know that . The size of angle is .
ii)
Step 1: Substitute the value of into the expression. Now that we know , we need to find .
Step 2: Calculate the sine value. The value of is a standard trigonometric value. The value of is .
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Here's how to solve the problem: i) The size of angle Step 1: Use the given tangent value to find .
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.