sin 30° + tan 45º - cosec 60° is divided by
sec 30° + cos 60° + cot 45°
plz help me
Answers
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Answer:
sin30° + tan45° - cosec60°
---------------------------------------
sec30° + cos60° + cot45°
1/2 + 1 - 2/√3
=> -----------------------
2/√3 + 1/2 + 1
3/2 - 2/√3
=> ---------------------
3/2 + 2/√3
3/2 - 2/√3 3/2 - 2/√3
=> -------------------- × --------------------
3/2 + 2/√3 3/2 - 2/√3
(3/2 - 2/√3)²
=> -------------------------
(3/2)² - (2/√3)²
9/4 + 4/3 -6√3
=> --------------------------
9/4 - 4/3
27√3 + 16√3 - 72
=> ------------------------------
11√3
27 + 16 - 72√3
=> -------------------------- ( answer)
11