using trignometric function of 45° and 30° find sin75°
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heya...!!!
we know that:-
sin(a + b) = sina×cosb + cosa×sinb
sin(75) = sin(30 + 45)
=> sin30×cos45 + cos30sin45
=> √3/2×1/√2 + 1/2 ×1/√2
=> √3/2√2 + 1/2√2
=> (√3 + 1)/2√2
we know that:-
sin(a + b) = sina×cosb + cosa×sinb
sin(75) = sin(30 + 45)
=> sin30×cos45 + cos30sin45
=> √3/2×1/√2 + 1/2 ×1/√2
=> √3/2√2 + 1/2√2
=> (√3 + 1)/2√2
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