4(sin2 30°+cos2 60°) -3(cos2 45°-sin3 90°) -sin2 60°

Asked by ajitapanda665 | 30th Mar, 2020, 09:23: AM

Expert Answer:

To find the value of 4(sin230°+cos260°) -3(cos245°-sin390°) - sin260°
4 open square brackets sin squared 30 degree plus cos squared 60 degree close square brackets minus 3 open parentheses cos squared 45 degree minus sin cubed 90 degree close parentheses minus sin squared 60 degree
equals 4 open square brackets open parentheses 1 half close parentheses squared plus open parentheses 1 half close parentheses squared close square brackets minus 3 open square brackets open parentheses fraction numerator 1 over denominator square root of 2 end fraction close parentheses squared minus 1 cubed close square brackets minus open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses squared
equals 4 open square brackets 2 over 4 close square brackets minus 3 open square brackets negative 1 half close square brackets minus 3 over 4
equals 8 over 4 plus 6 over 4 minus 3 over 4
equals 11 over 4

Answered by Renu Varma | 30th Mar, 2020, 12:06: PM