Use the fact that the trigonometric functions are periodic to find the exact value of the expression.. . sin405 degrees. . tan40

Question

aleksley [76]

3 years ago

5

Use the fact that the trigonometric functions are periodic to find the exact value of the expression.. . sin405 degrees. . tan40

5 degrees. . csc 350. . sin 9pi. ----. 4

Mathematics

1 answer:

Delicious77 [7] · Answer 1 · 2022-01-02T06:00:53+03:00

For tan(405 degrees):

405° = 360° + 45° = 45° = 9π/4 = π/4

tanx = sinx/cosx

sin(π/4) = √2/2

cos(π/4) = √2/2

[√2/2] / [√2/2] = 1

<span>Therefore: tan(405°) = 1
</span>
You may use the same method for the other given functions.

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