aayushagr1010
aayushagr1010 aayushagr1010
  • 20-02-2021
  • Mathematics
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tan^2 30 +tan ^2 45+tan^2 60​

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ADVENTUROUSBOY
ADVENTUROUSBOY ADVENTUROUSBOY
  • 20-02-2021

13/3 = 4.333

Step-by-step explanation:

tan 30 = 1/√3

tan 45 = 1

tan 60 = √3

= tan² 30 + tan² 45 + tan² 60

= ( 1 /√3 )² + ( 1 )² + ( √3 )²

= ( 1 / 3 ) + ( 1 ) + ( 3 )

= ( 1 + 3 + 9 ) ÷ 3

= 13 ÷ 3

= 4.333

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