Question

Find:

Sin 0=29/9 and cos 0 = 21/29
What is the value of cot 0?​

Answer 1

Answer:

$cot\theta = \frac{189}{841}$

Step-by-step explanation:

What we know:

$tan\theta = \frac{sin\theta}{cos\theta}$

$cot\theta = \frac{1}{tan\theta}$

Given Values:

$sin\theta = \frac{29}{9}\\cos\theta = \frac{21}{29}$

Substitution:

$tan\theta = \frac{\frac{29}{9}}{\frac{21}{29}}$

$tan\theta = \frac{29}{9}$ × $\frac{29}{21}$

$tan\theta = \frac{841}{189}$

Now,

$cot\theta = \frac1{tan\theta}$

Substituting the value of $tan\theta$,

∴ $cot\theta = \frac1{\frac{841}{189}}$

$cot\theta = \frac{189}{841}$