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Trigonometric Ratios l Sin(90-theta), Sin(90+theta), Sin(180-theta), Sin(180+theta) | CAST Diagram
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During working on Trigonometry or in Maths, we come across instances where we need to figure out the value of particular angles of Trigonometric Ratios. Other times, we need to be confident so that we can break down larger angles into smaller forms so as to ease the solution process. This video explains very simple method to find out the values of sin, cos, tan, cot, sec and cosec of (90-θ), (90+θ), (180-θ), (180+θ), (270-θ), (270+θ), (360-θ), (360+θ) with the help of the CAST Diagram or ASTC Rule.
sin(90-θ) sin(90+θ) sin(180-θ) sin(180+θ) sin(270-θ) sin(270+θ) sin(360-θ) sin(360+θ)
cos(90-θ) cos(90+θ) cos(180-θ) cos(180+θ) cos(270-θ) cos(270+θ) cos(360-θ) cos(360+θ)
tan(90-θ) tan(90+θ) tan(180-θ) tan(180+θ) tan(270-θ) tan(270+θ) tan(360-θ) tan(360+θ)
cot(90-θ) cot(90+θ) cot(180-θ) cot(180+θ) cot(270-θ) cot(270+θ) cot(360-θ) cot(360+θ)
sec(90-θ) sec(90+θ) sec(180-θ) sec(180+θ) sec(270-θ) sec(270+θ) sec(360-θ) sec(360+θ)
cosec(90-θ) cosec(90+θ) cosec(180-θ) cosec(180+θ) cosec(270-θ) cosec(270+θ) cosec(360-θ) cosec(360+θ)
sin(90-θ) sin(90+θ) sin(180-θ) sin(180+θ) sin(270-θ) sin(270+θ) sin(360-θ) sin(360+θ)
cos(90-θ) cos(90+θ) cos(180-θ) cos(180+θ) cos(270-θ) cos(270+θ) cos(360-θ) cos(360+θ)
tan(90-θ) tan(90+θ) tan(180-θ) tan(180+θ) tan(270-θ) tan(270+θ) tan(360-θ) tan(360+θ)
cot(90-θ) cot(90+θ) cot(180-θ) cot(180+θ) cot(270-θ) cot(270+θ) cot(360-θ) cot(360+θ)
sec(90-θ) sec(90+θ) sec(180-θ) sec(180+θ) sec(270-θ) sec(270+θ) sec(360-θ) sec(360+θ)
cosec(90-θ) cosec(90+θ) cosec(180-θ) cosec(180+θ) cosec(270-θ) cosec(270+θ) cosec(360-θ) cosec(360+θ)
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Trigonometric Ratios l Sin(90-theta), Sin(90+theta), Sin(180-theta), Sin(180+theta) | CAST Diagram
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sin(90-θ)=?
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