evaluate 5cos^2 60degrees +4sec^2 30 degrees -tan^2 45 degrees / sin^2 30 degrees + cos^30 degrees
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Answer:
Question:-
5cos²60+4sec²30-tan²45/sin²30+cos²30
Step-by-step explanation:
Value of Cos60°=1/2
Value of Sec30°=2/√3
Value of Tan45°=1
Value of Sin30°=1/2
Value of Cos30°=√3/2
Now,Put all the values and Square them↓
5×(1/2)²+4×(2/√3)²-(1)²/1
[sin²∅+cos²∅=1]
5×1/4 +4×4/3 -1
=>5/4 +16/3 -1
5×3/4×3+16×4/3×4-1×12/1×12---->[We found the LCM].
=> 15+64-12+
12
=>67/12
Hope it helps™✓
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