value cos 15 + cos 105
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Step-by-step explanation:
[tex] \cos(15) + \cos(105) \\ \\ \\ = 2 \cos( \frac{15 + 105}{2} ) \cos( \frac{105 - 15}{2} ) \\ \\ \\ = 2 \cos(60) \cos(45) \\ \\ \\ = 2 \times \frac{1}{2} \times \frac {1}{\sqrt {2}}\\ \\ \\ =\frac {1}{\sqrt {2}} [/tex]
Answer:
[tex] \boxed{\purple{heres{\green{your{ \pink{answer}}}}}}[/tex]
=cos(15)+cos(105)
=2cos(15+105)cos(105-15)
2 2
=2cos(60)(45)
=2×1×1
2 /2
= 1
/2
so,the ANSWER is 1 upon root 2.