Without using a calculator, evaluate:
Problem 1 :
sin² 60˚
Problem 2 :
sin 30˚ cos 60˚
Problem 3 :
4sin 60˚ cos 30˚
Problem 4 :
1 - cos² (π/6)
Problem 5 :
sin² (2π/3) - 1
Problem 6 :
cos² (π/4) - sin (7π/6)
Problem 7 :
sin (3π/4) - cos (5π/4)
Problem 8 :
1 - 2 sin² (7π/6)
Problem 9 :
cos² (5π/6) - sin² (5π/6)
Problem 10 :
tan² (π/3) - 2sin² (π/4)
Problem 11 :
2 tan (-5π/4) - sin (3π/2)
Problem 12 :
2tan 150˚ / (1 - tan² 150˚)
1) sin² 60˚ = 3/4
2) sin 30˚ cos 60˚ = 1/4
3) 4sin 60˚ cos 30˚ = 3
4) 1 - cos² (π/6) = 1/4
5) sin² (2π/3) - 1 = -1/4
6) cos² (π/4) - sin (7π/6) = 1
7) sin (3π/4) - cos (5π/4) = √2
8) 1 - 2 sin² (7π/6) = 1/2
9) cos² (5π/6) - sin² (5π/6) = 1/2
10) tan² (π/3) - 2sin² (π/4) = 2
11) 2tan (-5π/4) - sin (3π/2) = -1
12) 2tan 150˚ / 1 - tan² 150˚ = -√3
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM