In a triangle if 3 sinp + cosq=6 and 4sinq + 3cosp= 1 then the angle r is equal to

Question

If A={4, 6, 10, 12} and R is a relation defined on A as two elements are related iff they have exactly one common factor the relation r is

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Answer 1

Hello Mallikarjun,

square both the equations and add both them.

u will get 25+ 24(sinpcosq+cospsinq)=37

24(sin(p+q))=12

sin(p+q)=0.5

hence, p+q=30 or 150

if p+q=30,

then sin p

3sin p+4cosq

which is incorrect according to the given question

hence p+q=150

and r=30 DEGREES.

Hope this helps.

Good luck!!

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In a triangle if 3 sinp + cosq=6 and 4sinq + 3cosp= 1 then the angle r is equal to

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