Evaluate 4(sin4 30+cos4 60) -2/3(sin2 60-cos2 45)+1/2tan2 60
Answers
Answer:
4(sin((4)(30))+cos((4)(60)))−
2
3
(sin((2)(60))−cos((2)(45)))+
1
2
(tan((2)(60)))
=3.296342
Step-by-step explanation:
4(sin((4)(30))+cos((4)(60)))−
2
3
(sin((2)(60))−cos((2)(45)))+
1
2
(tan((2)(60)))
=4(sin(120)+cos((4)(60)))−
2
3
(sin((2)(60))−cos((2)(45)))+
1
2
(tan((2)(60)))
=4(0.580611+cos((4)(60)))−
2
3
(sin((2)(60))−cos((2)(45)))+
1
2
(tan((2)(60)))
=4(0.580611+cos(240))−
2
3
(sin((2)(60))−cos((2)(45)))+
1
2
(tan((2)(60)))
=4(0.580611+0.325781)−
2
3
(sin((2)(60))−cos((2)(45)))+
1
2
(tan((2)(60)))
=(4)(0.906392)−
2
3
(sin((2)(60))−cos((2)(45)))+
1
2
(tan((2)(60)))
=3.62557−
2
3
(sin((2)(60))−cos((2)(45)))+
1
2
(tan((2)(60)))
=3.62557−
2
3
(sin(120)−cos((2)(45)))+
1
2
(tan((2)(60)))
=3.62557−
2
3
(0.580611−cos((2)(45)))+
1
2
(tan((2)(60)))
=3.62557−
2
3
(0.580611−cos(90))+
1
2
(tan((2)(60)))
=3.62557−
2
3
(0.580611−(−0.448074))+
1
2
(tan((2)(60)))
=3.62557−
2
3
(1.028685)+
1
2
(tan((2)(60)))
=3.62557−0.68579+
1
2
(tan((2)(60)))
=2.93978+
1
2
(tan((2)(60)))
=2.93978+
1
2
(tan(120))
=2.93978+
1
2
(0.713123)
=2.93978+0.356562