Question

Evaluate sin2 30 + 2cos 2 45 + tan2 60/ 1/2 cot 2 45 + cos2 30 + tan2 45​

Answer 1

Answer:17/9

Step-by-step explanation:

If ur 2 before theta means square then

sin^2 30° + 2 cos^ 2 45° + tan^2 60°

_________________________________

1/2 cot^2 45° + cos^2 30° + tan^2 45°

= (1/2)^2+2×(1/√2)^2+(√3)^2

________________________

1/2(1)^2+(√3/2)^2+(1)^2

= 1/4+2×1/2+3

___________

1/2×1+ 3/4+1

= 1/4+1+3

________

4+6/8+1 ..... .....( Cross multiply )

=. 1/4+4

________

10/8+1=5/4+1

= 17/4

_______....... ( Cross multiply

5+4/4

= 17/4/9/4

= 17/9