Question #063da

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Answer 1 · 2016-10-09T19:27:05

The answer is 1.

$sin (3.3) csc (3.3)$ $sin(3.3)csc(3.3)$

Using the trig identity $csc x = \frac{1}{sin x}$ $cscx=1/sinx$

$sin (3.3) csc (3.3) = sin (3.3) * \frac{1}{sin (3.3)} = 1$ $sin(3.3)csc(3.3)=sin(3.3)**1/sin(3.3)=1$

Answer 2 · 2016-10-09T19:27:06

The answer is $1$ $1$ .

Remember that the cosecant of an angle (csc) is the reciprocal of the sine of that angle (sin).
$csc θ = \frac{1}{sin θ}$ $csc theta = 1/sin theta$

Therefore,
$sin 3.3 csc 3.3 = sin 3.3 \frac{1}{sin 3.3} = \frac{sin 3.3}{sin 3.3} = 1$ $sin 3.3 csc 3.3 = sin 3.3 1/sin 3.3 = sin 3.3/sin3.3 = 1$ .