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· 1 Months ago

where is link?

Question:
The value of cos²18° + cos²72° + cot²30° is:
Options:
A) \(\cfrac{4}{3}\)
B) 4
C) \(\cfrac{5}{4}\)
D) 5
Solution:

Ans: (b)

cos(A) = sin(90 – A)

cos²18° = sin²72°

Therefore cos²18° + cos²72° + cot²30°

= sin²72° + cos²72° + cot²30°

= 1 + (√3)² = 4

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