find the value of cos 105, sin 105,tan7π\12
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Cos105°
=> Cos(60° + 45°)
=> Cos60°Cos45° - Sin60°Sin45°
=> (1/2)(1/√2) - (√3/2)(1/√2)
=> (1/2√2) - [(√3 - 1)/2√2]
=> (2 - √3)/2√2
Sin105°
=> Sin(60° + 45°)
=> Sin60°Cos45° + Cos60°Sin45°
=> (√3/2)(1/√2) + (1/2)(1/√2)
=> [(√3 + 1)/2√2] + (1/2√2)
=> (2 + √3)/2√2
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