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| Math Central | Quandaries & Queries |
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Question from Nazrul, a teacher: How can I find the value of A if sinA-cosA=1 , where A is an acute angle. |
Hi Nazrul.
Start by squaring both sides. You will get this:
sin²A - 2sinAcosA + cos²A = 1²
Now use these trig identities:
sin²A + cos²A = 1
2sinAcosA = sin2A
This will allow you to simplify it to just a single term which you can evaluate.
Hope this helps,
Stephen La Rocque.
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