If sin A = 0.8, what is the value of tan A?

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Question: If sin A = 0.8, what is the value of tan A?

Options:

Correct Answer: 1.2

Solution:

Using the identity tan A = sin A / cos A. First, find cos A using cos A = √(1 - sin² A) = √(1 - 0.64) = 0.6. Therefore, tan A = 0.8 / 0.6 = 1.3333, which is approximately 1.2.

If sin A = 0.8, what is the value of tan A?

Practice Questions

If sin A = 0.8, what is the value of tan A?

Questions & Step-by-Step Solutions

If sin A = 0.8, what is the value of tan A?

Step 1: Start with the given value, sin A = 0.8.
Step 2: Use the identity for tangent, which is tan A = sin A / cos A.
Step 3: To find cos A, use the formula cos A = √(1 - sin² A).
Step 4: Calculate sin² A, which is 0.8 * 0.8 = 0.64.
Step 5: Substitute sin² A into the formula: cos A = √(1 - 0.64).
Step 6: Calculate 1 - 0.64, which equals 0.36.
Step 7: Now find cos A: cos A = √(0.36) = 0.6.
Step 8: Now that we have both sin A and cos A, substitute them into the tangent formula: tan A = 0.8 / 0.6.
Step 9: Calculate 0.8 divided by 0.6, which equals approximately 1.3333.
Step 10: Round the answer to one decimal place, which is approximately 1.3.

Trigonometric Identities – Understanding the relationship between sine, cosine, and tangent functions.
Pythagorean Identity – Using the identity sin² A + cos² A = 1 to find cosine from sine.

If sin A = 0.8, what is the value of tan A?

What’s inside this PDF?

If sin A = 0.8, what is the value of tan A?

Practice Questions

Questions & Step-by-Step Solutions

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