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Numerical Ability
Trigonometry
Find the value of sin 75° + sin 15° = ?
cos 75° + cos 15° =?
Read Solution (Total 5)
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- sin a+sin b=2sin(a+b)/2*cos(a-b)/2
=2sin(75+15)/2*cos(75-15)/2
=2sin 45*cos 30
=square root (3/2) - 10 years agoHelpfull: Yes(8) No(0)
- By using formula
Sin c + Sin d=2sin(c+d)/2*cos (c-d)/2
Sin 75°+ Sin 15°= 2 sin(75°+15°)/2.cos(75°-15°)/2
=2sin 45°+cos30°
=(2)^1/2+((3)^1/2)/2
Similarly formula of
Cos c+ Cos d=2cos(c+d)/2*cos(c-d)/2
- 10 years agoHelpfull: Yes(7) No(2)
- 2(1/2^1/2*3^1/2/2)=(3/2)^1/2
- 10 years agoHelpfull: Yes(1) No(0)
- (sin75+cos75)/(cos75+sin75)=1
answer- 01. - 10 years agoHelpfull: Yes(1) No(0)
- Sin 75 +sin(90-75)=sin 75+cos 75=t(let)
So t^2=(sin 75+cos 75)^2
t^2=1+sin150
t^2=1+Sin(180-30)
t^2=1+1/2
t=Sqr root(3/2). Ans - 10 years agoHelpfull: Yes(1) No(0)
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