Questions
A line makes angles with coordinate axes. If , then
a
1+sin2β
b
1-sin2β
c
1-cos2β
d
cos2α
detailed solution
Correct option is A
If α,β,γ are the angles made by a line ‘L’ with the coordinate axes in the positive direction then cos2α+cos2β+cos2γ=1Given α,β,γ=π2−βIt implies that cos2α+cos2β+sin2β=1⇒cos2α=0Consider the expression cosα+cosβ+cosγ2=0+cosβ+sinβ2=cos2β+sin2β+2cosβsinβ=1+sin2βTherefore, the required expression is1+sin2βTalk to our academic expert!
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The dc’s of the line passing through P and the origin are
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