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Question
If `tan theta = 24/7`, find that sin ๐ + cos ๐
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Solution
Let x − 1 be the hypotenuse By applying Pythagoras theorem we get
๐ด๐ถ2 = ๐ด๐ต2 + ๐ต๐ถ2
๐ฅ2 = (24)2 + (7)2
๐ฅ2 = 576 + 49 = 62.5
x = 25
`sin theta = (AB)/(AC) = 24/25`
`cos theta = (BC)/(AC) = 7/25`
`sin theta + cos theta = 24/25 + 7/25`
`= 31/25`
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