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If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)2?
Most Upvoted Answer
If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)...
Solution:

Given: m angle B = 45

Let's draw triangle ABC with angle B as 45 degrees.

![image.png](attachment:image.png)

Let's use trigonometric identities to solve the problem.

We know that cot A = 1/tan A and cot C = 1/tan C.

So, (1 cot A)(1 cot C) = (1/tan A)(1/tan C) = 1/(tan A tan C)

Using the trigonometric identity, tan(A+C) = (tan A + tan C)/(1 - tan A tan C)

We get, tan A tan C = (tan A + tan C)/tan(A+C) - 1

Substituting angle B as 45 and simplifying, we get

tan A tan C = 1/2 - 1 = -1/2

Therefore, (1 cot A)(1 cot C) = 1/(tan A tan C) = -2

Hence, the answer is option 3) -1.

Final Answer: 3) -1
Community Answer
If m angle B=45 of triangle ABC,then(1 cotA)(1 cotC)=? 1)0 2)1 3)-1 4)...
-1
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