Tangent tan(30°) = 1 / 1.732 = 0.577But in Quadrant II, the x direction is negative, and cosine and tangent become negative:Example: The sine, cosine and tangent of 150° Sine sin(150°) = 1 / 2 = 0.5 Cosine cos(150°) = −1.732 / 2 = −0.866 Tangent tan(150°) = 1 ...
the values of cos 𝑥 and tan 𝑥 are both negative. In the third quadrant, the letter T tells us that the tan of any angle between 180 and 270 degrees is positive. sin 𝑥 and cos 𝑥 are both negative in the third quadrant. Finally, the cosine of any angle between 270 and 360...
Law of Sines Formula & Examples6:04 Law of Cosines | Definition & Equation8:16 Double Angle Formula | Sin, Cos & Tan9:44 Radians to Degree Formula & Examples7:15 How to Solve Trigonometric Equations for X4:57 Trig Identities | Formula, List & Properties7:11 ...
⎧⎩⎨ 𝜙=arctansin𝛼⋅tan𝛽′1+cos2𝛼⋅tan2𝛽′√𝜗=arctansin𝛼tan2𝛽′+cos2𝛼√𝜓=arctantan𝛽′cos𝛼{ϕ=arctansinα⋅tanβ′1+cos2α⋅tan2β′ϑ=arctansinαtan2β′+cos2αψ=arctantanβ′cosα (1) Figure 3. (a) lateral inclination of an...