what is cos15*cot20*cot70*cot75 =
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cot15° cot 20° cot 70° cot 75°
= cot(90-75)° cot 75° cot(90°-70°) cot 70°
= tan75°cot75°tan70°cot70°
= 1
Identity used =
cot (90°-∅) = tan∅
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Answer:
1
Step-by-step explanation:
cot15×cot20×cot70×cot75
=cot15×cot(90-15)×cot20×cot(90-20)
=cot15×tan45×cot20×tan20
=cot15×1÷cot45×cot20×1÷cot20
=1
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