Question

show that sin60°cos30°-cos60°sin30°=1/2​

Answer 1

Answer:

1/2 is proved

Step-by-step explanation:

first put the values of sin60, cos30 and so on...

then add the numerator and the denominators.

the simply and you'll get the answer as above!!

( 'ω' )

Answer 2

Step-by-step explanation:

$LHS \: = sin60 {}^{.} cos30 {}^{.} - cos60 {}^{.} sin30 {}^{.}$

$= \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} - \frac{1}{2} \times \frac{1}{2}$

$= \frac{3}{4} - \frac{1}{4}$

$= \frac{2}{4}$

$= \frac{1}{2}$

$= RHS \:$