HOW DO YOU SOLVE THIS QUICKLY. GIVING32 POINTS. CONVERT THIS INTO TAN(68) WITH STEPS.
2 answers:
https://www.mathcelebrity.com/anglebasic.php?entry=68&coff=&pl=tan
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Answer:
Step-by-step explanation:
<u>Use identities:</u>
- sin 2x = 2sinxcosx
- cos 2x = cos²x - sin²x
<u>Simplify the given:</u>
- sin 2x / (1 - cos 2x) =
- 2sin x cos x / (sin² x + cos² x - cos² x + sin² x) =
- 2sin x cos x / 2sin² x =
- cos x / sin x =
- cot x = tan (90° - x) (in the quadrant I)
<u>Apply to the given:</u>
- sin (44°) / (1 - cos (44°)) =
- tan (90° - 44°/2) =
- tan (90° - 22°) =
- tan (68°)
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