Math, asked by jaffer269, 1 year ago

Evaluate : sin 60° .cos 30°+cos 60° . sin 30°

Answers

Answered by ashutosharyan874
16
=sin(60+30)=sin90=1,,,this will be the answer

jaffer269: show me with step by step working
ashutosharyan874: I think it cannot go lengthier now,,,, in 1st step i used the formula sinAcosB+cosAsinB=sin(A+B) and rest u can easily understand
jaffer269: which calss
jaffer269: are you in bro
ashutosharyan874: I am preparing for iit, 12+
jaffer269: hm
ashutosharyan874: you
jaffer269: 11th
Answered by atharvvtiwari
28

Answer:

1

Step-by-step explanation:

Since, sin A = cos ( 90 - A ),

sin 60° . cos 30° + cos 60° . sin 30

= sin 60° . sin ( 90° - 30° ) + cos 60° . cos ( 90° - 30° )

= sin 60° . sin 60° + cos 60° . cos 60°

= sin^2 60° . cos^2 60°

= 1

( as sin^2 A + cos^2 A = 1 )


mishrapm1010: here,
mishrapm1010: let those eq.s be eq.1&2
mishrapm1010: multiply eq.1 by 3 we get,
mishrapm1010: 3x+3y=15..........(3)
mishrapm1010: by elimination method
mishrapm1010: 3x+3y=15..............(3)
mishrapm1010: 2x-3y=5...............(2)
mishrapm1010: we'll get
mishrapm1010: 5x=19 , x= 19/5
mishrapm1010: then put the value of x in any of the eq and you'll get y
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