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satela [25.4K]
4 years ago
13

(cos30°+sin60°)cot60°​

Mathematics
1 answer:
Gennadij [26K]4 years ago
6 0

Answer:

1.

Step-by-step explanation:

cos 30  = √3/2                    (obtained from the 30-60-90 triangle)

sin 60 = √3/ 2                     ( as above)

cot 60 = 1 / tan 60  =  1/√3         (as above)

So (cos30°+sin60°)cot60°​ =   (√3/2 +  √3/2) / √3

= 2√3/2  / √3

= √3 / √3

= 1.

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