Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
For an acute angle , . Use the identity to find , then and . Give each to three decimal places.
The identities: , and . For an acute angle, every ratio is positive, so take the positive square root.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Factorise the identity. , so .
Step 2. The difference. , which is .
Step 3. Add. , so , which is .
Step 4. Subtract. , so , which is .
Check. .
Answer: , and .
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