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Rudiy27
3 years ago
12

127/n=635 what is the value of n?

Mathematics
2 answers:
Crank3 years ago
6 0
Answer: n=1/5
Hope this helps!
lesya [120]3 years ago
6 0

Answer:

n = 1/5 or 0.2

Step-by-step explanation:

Given

127/n = 635

Cross multiply

127 = n x 635

Divide both sides by 635

127/635 = n x 635/635

Divide both the numerator and denominator by 127.

We have

1/5 = n

n = 1/5 or

n = 0.2

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Answer:

\bold{cot(t) =\dfrac{12}{5}}

Step-by-step explanation:

Given that:

Cosec (t) = -\frac{13}5

for \pi < t < \frac{3 \pi}2

That means, angle t is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

cosec^2\theta -cot^2\theta =1

here, \theta =t

So, cosec^2t-cot^2t=1

\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}

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