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