tan2 60° + 4 cos 2 45° + 3 (sec 230° + cos2 90°).
Answers
Answered by
1
Answer:
idk
Step-by-step explanation:
srry
Answered by
2
Step-by-step explanation:
tan 2 60° = √3
cos 2 45° = 1/√2
sec 2 30° = 2/√3
cos 2 90° = 1
tan2 60°+4cos2 45°+3(sec2 30°+cos2 90°)
= √3+4(1/√2)+3(2√3+1)
= √3 +4(1/√2)+6√3+3
=√3 + 4/√2 +6√3+3
= 3 + 6√3 +√3 +4/√2 [ Rearranging ]
= 3+ ( √3 + 6 √3) + 4× √2
√2 √2 ... [ Rationalising the
denominator]
= 3 +7√3+ 4√2
2
= 3 + 7√3 + 2√2
therefore ,
tan2 60°+4 cos2 45° + 3( sec2 30° + cos2 90°)
= 3 + 7√3 + 2√2
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