Question

evaluate
5 cos² 60° + 4 sec² 30° - tanº 45°/
sin² 30° + cos² 30°​

Answer 1

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Answer 2

Answer:

$\huge{\boxed{\rm{\red{Answer=67/12}}}}$

Step-by-step explanation:

Given that :-

(5 cos²60°+4 sec²30°-tan 45°)/(sin²30°+cos²30°)

We know that sin²A+cos²A=1

=>5 cos ²60°+4sec²30°-tan45°/1

=>5 cos ²60°+4sec²30°-tan45°

=>5((1/2)²+4(2/√3)²-1

=>5(1/4)+4(4/3)-1

=>5/4+16/3-1

LCM of 4,3 is 12

=>(15+64-12)/12

=>(79-12)/12

=>67/12

The value is 67/12