Question
If sin 2a = (5/9), then find the value of (sin a + cos
a).Solution
sin 2a = (5/9)
Adding 1 to both sides, we get;
1 + sin 2a = (14/9)
We know that (sin²a + cos²a) = 1 and (sin 2P = 2 sinP cosP)
sin²a + cos²a + 2 sin a cos a = (14/9)
(sin a + cos a)² = (14/9)
(sin a + cos a) = √14/3
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