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Find the exact value of the expression.
tan[sin⁻¹(8/9)]

User Goodcow
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Final answer:

To find the exact value of tan[sin⁻¹(8/9)], take the tangent of the angle sin⁻¹(8/9). The approximate value is 2.086.

Step-by-step explanation:

To find the exact value of tan[sin⁻¹(8/9)], we need to use the properties of inverse trigonometric functions. Let's start by finding the angle sin⁻¹(8/9). This angle represents the angle whose sine value is 8/9.

Using a calculator, we find that sin⁻¹(8/9) ≈ 64.06°.

Next, we can find the value of tan[sin⁻¹(8/9)] by taking the tangent of the angle we just found. Using a calculator, we have tan(64.06°) ≈ 2.086.

Therefore, the exact value of tan[sin⁻¹(8/9)] is approximately 2.086.

User Ben Scmidth
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