Math, asked by Rakrit1901, 1 year ago

log sin 1 . log sin 2 . log sin 3 .............log sin 179

Answers

Answered by erinna
42

Answer:

0

Step-by-step explanation:

The given expression is

\log \sin 1\cdot \log \sin 2\cdot \log \sin 3\cdot...\cdot\log \sin 179

We need to find the value of given expression.

From the given expression it is clear that \log \sin 90 term of lies in the expression.

We know that

\sin 90^{\circ}=1

\log(1)=0

Using this facts, we get

\log \sin 90=\log (1)=0

If any number multiplied by 0, then the resultant value is 0.

\log \sin 1\cdot \log \sin 2\cdot \log \sin 3\cdot...\cdot \log \sin 90\cdot...\cdot\log \sin 179

\log \sin 1\cdot \log \sin 2\cdot \log \sin 3\cdot...\cdot (0) \cdot...\cdot\log \sin 179

0

Therefore, the value of given expression is 0.

Answered by Anonymous
15

Answer:

Step-by-step explanation:

So, you will see one of the terms

log sin 90=log 1=0

Hence,answer is 0, hope you understood

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