Question

If sin(x)=0.3090 , what is the approximate value of csc(x)?
0.5559
1.3090
3.2362
10.4733

Answer 1

Answer

3.2362

Explanation

To solve this, we are going to use the trig identity: $csc(x)=\frac{1}{sin(x)}$

We know that our problem that $sin(x)=0.3090$, so let's replace the value in our identity:

$csc(x)=\frac{1}{sin(x)}$

$csc(x)=\frac{1}{0.3090}$

$csc(x)=3.2362$

We can conclude that the approximate value of $csc(x)$ is 3.2362.

Answer 2

The approximate value of csc(x) is 3.2362

Trigonometric ratios:

• csc ∅ = 1 / sin ∅

• sec ∅ = 1 / cos ∅
• cot ∅ = 1 / tan ∅

since  sin x = 0.3090

Therefore,

1 / sin x  = csc x

Then

csc x = 1 / 0.3090

csc x = 3.23624595469

csc x ≈ 3.2362

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