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3 years ago

Find a numerical value if one trigonometric function of x if tan2x-sin2x/sin2x=5

Mathematics

1 answer:

seropon [69]3 years ago

4 0

Answer:

The values of x that satisfy the given equation are:

x1 = 1.183 + nπ

x2 = -1.183 + nπ

Step-by-step explanation:

Given tan²x - sin²x/sin²x = 5

Simplifying this, we have

tan²x - 1 = 5

Adding 1 to both sides, we have

tan²x = 6

Because tan²x = (tanx)², we can write as

(tanx)² = 6

Taking square roots of both sides, we have.

tanx = ±√6

x = arctan(±√6) + nπ

≈ 1.183 + nπ or -1.183 + nπ

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Learn more about the line of best fit here:

brainly.com/question/14279419

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