Math, asked by anilgiri13, 1 year ago

value cos 15 + cos 105​

Answers

Answered by Thatsomeone
1

Step-by-step explanation:

 \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}}

Answered by mohitgurjar59
3

Answer:

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=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.

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