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100 POINTS!! ASAP - Pls show all the WORK

100 POINTS!! ASAP - Pls show all the WORK-example-1
User Azim J
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2 Answers

4 votes

Answer:

cot(52)

Explanation:

cofunction of tan (38)

The cofunction of and angle Ф is the trigonometric complement of an angle.

it shows the relationship between trigonometric functions as:

list the cofunction formula for tan

tan(Ф) = cot(90° - Ф)

plugin Ф = 38 into the formula:

tan (38) = cot(cot(90° - 38)

tan(38 = cot(52)

User Nizzle
by
8.2k points
5 votes

Answer:

Solution: cot(52°)

Explanation:

Remember that the cofunction of angle theta say, is the trigonometric complement of the angle. It represents the relationship between trigonometric functions. In this case you can use the formula:

tan(θ) = cot(90° - θ)

If we plug in '38 degrees' in replacement of 'theta' we can solve for tan(38) in terms of cot. Let's see what our solution is:

tan(38°) = cot(90° - 38°),

tan(38°) = cot(52°)

Therefore the cofunction with the same value as tan(38°) would be cot(52°). Remember this is only one example of it's 'cofunction.'

User Nehemias Herrera
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