Question

(v)
5cos2 60°+ 4sec2 30°-tan2 45°/sin2 30°+cos2 30°​

Answer 1

Answer:

5×(1/2)2 + 4×(2/√3)2 - (1)2/(1/2)2 + (√3/2)2

= 5/4 + 16/3 - 4 + 3/4

= 5/4+ 3/4 + 16/3 - 4

= 5+3/4 + 16-12/3

= 8/4 + 4/3

= 2+4/3

= 10/3 Ans

Answer 2

Answer:

10/3

Step-by-step explanation:

5cos^2 60degrees + 4sec^2 30degrees - tan^2 45degrees/sin^2 30degrees + cos^2 30degrees...

Finding values;

1. 5cos^2 60 = 5.[1/2]^2 = 5.[1/4] = 5/4

2. 4sec^2 30 = 4.[2/√3]^2 = 4.[4/3] =16/3

3. tan^2 45 = 1^2 = 1

4. sin^2 30 = [1/2]^2 = 1/4

5. cos^2 30 = [√3/2] = 3/4

Substituting values;

5/4 + 8/3 - 1/(1/4) + 3/4

= 5/4 + 16/3 - 4 + 3/4

= 5/4 + 3/4 + 16/3 - 4

= 8/4 + 16/3 -4

= 2 + 4/3

= 6+4/3

=10/3..