Question

If $cot\theta =\frac{7}{24}$, then the values of sin $\theta$ is $sin\theta =-\frac{24}{25}$
if true then enter $1$ and if false then write $0$

Answer 1

$cot\theta =\frac{7}{24}$
$cot\theta =\frac{B}{P}=\frac{7}{24}$
$B=7$, $P=24$
Thus, by Pythagoras Theorem,
$H^2=B^2+P^2$
$H^2=7^2+{24}^2$
$H^2=625$
$H=25$ cm
Since, $\theta$ is in fourth quadrant, all values will be negative except, $cos\theta$ and $sec\theta$
$sin\theta =\frac{P}{H}=-\frac{24}{25}$
$sec\theta =\frac{H}{B}=\frac{25}{7}$