Exact trig values

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$Right-angled triangle XYZ with right angle at Y, angle X = 45 degrees, and hypotenuse XZ = 10\sqrt{2} cm.$

A right-angled triangle $XYZ\,$ is shown. The right angle is at vertex $Y$ . The hypotenuse $XZ\,$ is $cm10\sqrt{2}\text{ cm}$ . The angle at vertex $X\,$ is $45∘45^\circ$ .

Calculate the length $X Y$ .

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Exact trig values Questions

Practise OCR GCSE Maths Exact trig values with exam-style questions for Foundation and Higher tier. 64 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.