Math, asked by kuldipsuthar121, 11 months ago

(105°)sec find value​

Answers

Answered by cjaya
15

Answer:

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Hope it helps ❤️ ☺️

Attachments:
Answered by pentagon5solution
11

Answer:

sec 105  =1/cos 105

cos 105 =cos (60+45)

cos (60+45) = cos 60 cos 45 - sin 60 sin 45

               = 1/2. 1/2\sqrt{2} - 1/2\sqrt{3} . 1/2\sqrt{2}

               = 1/4\sqrt{2}  -1/4 \sqrt{6}

sec 105 = 1/ ( 1/4\sqrt{2}  -1/4 \sqrt{6})

            = 4/ (\sqrt{2} - \sqrt{6})

             = 4(\sqrt{2} + \sqrt{6}) /-4  

       =- (\sqrt{2} + \sqrt{6})

Step-by-step explanation:

cos (a+b) = cos a cos b - sin a sin b

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