Math, asked by Anonymous, 11 months ago

Prove that sin 30degree cos60degree+cos 30degree sin 60degree=1.

Answers

Answered by Anonymous
6

SOLUTION ☺️

=)L.H.S

=) sin 30° cos 60° + cos30° sin 60°

 =  >  \frac{1}{2}  \times  \frac{1}{2}  +  \frac{ \sqrt{3} }{2}  \times  \frac{ \sqrt{3} }{2}  \\  \\  =  >  \frac{1}{4}   +  \frac{3}{4}  \\  \\  =  >  \frac{4}{4}   = 1

R.H.S

hope it helps ✔️

Answered by Anonymous
11

Step-by-step explanation:

Cos30=√3/2sin60=√3/2sin30=1/2cos60=1/2therefore cos30+sin60/1+sin60+cos60=cos30therefore√3/2+√3/2/1+1/2+1/2=√3/2 2√3/2/1+1=√3/2 √3/2=√3/2

therefore proved

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