Differentiation involving sine and cosine. as follows: Can be summarized if y = sin @ then it's dirivactive (dy/d@) is cost y=sine, dy/do = cos@ =) y = sin^@, dy/do = acosal I where a is a constant. y=sin(aB+c), dy ldp = a cas (gb+ &)" where a and & are Constants. If y = cas @ then it derivative (dylde) is -sino. =) y = cose; dyld@=-sin@ = 4 = cosa@, dylde = -asina@ westure a is constant ) y = cos(alta), dyld @ = where a and quare "Sin (a) Constants -EXAMPLE: Differentiate the following equations: b) flt) = 4roszt a) y = 2sin 50 EXAMPLE2: Differentiate the following with respect to se y= 6 sin 3x-3 cosupc" dy/dc=d/6sinx - d1d3c0s 4x XAMPLE 3: Differentiate the following with respect to the given variable. a) f(2) = 10 sin (100 5760 -0.40) b) f(+) 3 (05 (5++0.20)