Question

how sin(pi\3 + pi\100) = 0.8813?​

Answer 1

Answer:

Given : -

Sin ( π / 3 + π / 100 )

Since , π = 180°

So ,

Sin ( 180° / 3 + 180° / 100 )

Sin ( 60 ° + 1.8° )

Sin 61. 8 ° , If it's value is given you can directly write the value

Since , Sin 61 is 0.8746

So , 61.8 ° can be 0.8813

Otherwise : -

We know ,

Sin ( A + B ) = SinA CosB + CosA SinB

So , Here

Sin ( 60 ° + 1.8° )

= Sin 60° Cos1.8° + Cos60° Sin 1.8°

Values of Cos 18° & Sin 18° Should be Given : -

= √3 / 2 × ( - 0.227 ) + 1 / 2 × 0.973

= - 1.732 × 0. 1135 + 0.5 × 0.974

= - 0.1965 + 0.487

= 0.29

I don't know Why from this method Where I'm lagging ??

Please Check the Calculation if There is any mistake then , Lemme Know