Question

Find the value of 4(sin^4 30+cos^4 30)-3(cos^2 45+sin^3 90)

Answer 1

Answer:

4(sin^4 30+cos^4 30)-3(cos^2 45+sin^3 90) = -2

Step-by-step explanation:

4(sin^4 30+cos^4 30)-3(cos^2 45+sin^3 90)

= 4[(1\2)^4+(√3\2)^4]-3[(1\√2)^2+(1)^3]

= 4[1\16+9\16]-3[1\2+1]

= 4[1+9\16]-3[1+2\2]

= 4[10\16]-3[3\2]

= 5\2-9\2

= 5-9\2

= -4\2

= -2