Math, asked by archanamohanty78, 9 months ago

tan2 60° + 4 cos 2 45° + 3 (sec 230° + cos2 90°).

Answers

Answered by svastichugh10
1

Answer:

idk

Step-by-step explanation:

srry

Answered by burhaanikIQ
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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