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cos-105 A) (squareroot6)+(squareroot2)/4 B)(squareroot6)-(squareroot2)/4 C)(squareroot2)-(squareroot6)/4 D)-(squareroot6)-(squareroot2)/4
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@ganeshie8
hint : \(\cos (-\theta) = \cos (\theta)\)
hint2 : \(105 = 60 + 45\)
I use cosAcosB-sinAsinB or CosAcosB-sinAsinB
^^^^^^^^^^^^+
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\(\cos (A +B) = \cos A \cos B \color{red}{-} \sin A \sin B\)
\(\cos (-105) = \cos (105) = \cos(60+45) ~= ~?\)
cos60cos45-sin60sin45
Yep ! look up ur unit circle
\[1/2*\sqrt{2}/2-\sqrt{3}/2*\sqrt{2}/2\]
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Perfect ! simplify...
\[\sqrt{2}/4-\sqrt{6}/4\]
so my answer is c
\(\large \color{Red}{\checkmark }\)
good job !!
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