Math, asked by sujalsail1, 2 months ago

tan² 60 - cot² 45 +2 cos² 60 ÷ 3​

Answers

Answered by ayushigautam0414
0

Answer:

1/2

Step-by-step explanation:

Tan 60 = √3

Cot 45 = 1

Cos 60 = 1/2

So,

tan² 60 - cot² 45 +2 cos² 60 = \sqrt[]{3} ^{2} - 1^{2} + 2(\frac{1}{2^{2} }) = 3 - 1 + \frac{2}{4} = 2 - \frac{1}{2}  = \frac{3}{2}

now,

tan² 60 - cot² 45 +2 cos² 60 ÷ 3​ = \frac{\frac{3}{2}}{3} = \frac{3}{3.2} = \frac{1}{2}  

Hope it helps!!

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Answered by utsav96
3
Pls mark as brainliest answer
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