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Solving trigonometric equations Videos 6 videos
ACT Math: Coordinate Geometry Drill 5, Problem 1. Simplify the expression.
ACT Math Trigonometry Drill 1, Problem 2. Can you find the tangent?
ACT Math: Trigonometry Drill 1, Problem 4. Can you find the sine?
ACT Math 1.2 Trigonometry 274 Views
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ACT Math Trigonometry Drill 1, Problem 2. Can you find the tangent?
- Trigonometry / SOHCAHTOA (values and properties of trig functions)
- Trigonometry / Trig identities
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Spanish Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Chinese Subtitled
- Trigonometry / Solving trigonometric equations
Transcript
- 00:02
And here is your shmoop de jour.
- 00:04
What is the tangent of a forty-five degrees?
- 00:07
And here are the potential answers...
- 00:11
Since we want to know what the tangent of forty-five degrees
- 00:14
is, we can use the half angle formula with ninety degrees because
Full Transcript
- 00:19
ninety divided by two is 45. So
- 00:22
we just plug in ninety for X and a half angle formula here
- 00:25
Tangent ninety over two equals one minus cosine
- 00:29
ninety over sine of ninety. Cosine of 90 is 0 and Sine of 90 is 1
- 00:35
our equation now looks a lot more welcoming and tangent of ninety divided by 2
- 00:39
equals one number one
- 00:40
so we've simplified and tangent of forty-five equals 1.
- 00:44
So there you go, it's answer C.
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