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If a line makes angles alpha,b...

# If a line makes angles alpha,betaa n dgamma with three-dimensional coordinate axes, respectively, then find the value of cos2alpha+cos2beta+cos2gammadot Khareedo DN Pro and dekho sari videos bina kisi ad ki rukaavat ke!

Updated On: 27-06-2022 Text Solution

Solution : cos2alpha+cos2beta+cos2gamma <br> " "=2cos^(2)alpha-1+2cos^(2)beta-1+2cos^(2) gamma-1 <br> " "=2(cos^(2)alpha+cos^(2)beta+cos^(2)gamma)-3 ltBrgt " "=-1 Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. Transcript

so the question is if line makes angle alpha beta and gamma with three dimensional co-ordinate Axis then find the value of cos 2 alpha + cos 2 theta + cos to Barmer will take the formula of direction cosine that is a square + x square + Y square equals to 1 according to this question we will take the value of L as cause Alpha M as cause beta NS cos Gama so after putting the value of lmn and cos square alpha + cos square theta + cos square A is equals to 1 this is first equation in the question we have to find the value of cos 2 alpha + cos 2 theta +

cos 2 theta Formula for cos 2x cos square alpha minus 1 + 2 cos squared theta minus 1 + 2 cos square minus one so I will take to Ace common so cos square alpha + cos square theta + cos square minus minus 1 minus 1 minus 1 minus 3 so from the first equation this value is equals to 1 so 2 into 1 minus 3 that are - 12 the value of cos 2 theta + cos 2 theta + cos 2A is -1 is the answer

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