Sine - Cosine - Tangent

Graphs of Sine, Cosine and Tangent

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The Pythagorean theorem states that in any right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. It is written: a² + b² = c².

More information

Citation:

Pythagorean Theorem. (2015). In A. H. Blackwell & E. Manar (Eds.), UXL Encyclopedia of Science (3rd ed.). UXL. https://link.gale.com/apps/doc/CV2644300797/SUIC?u=61_alls&sid=SUIC&xid=0388cef2

Citation:

Leading Educational Resources. (2018). Activities. Retrieved from https://www.leadedres.com.au/activities

The Law of Sines states that for any triangle ABC, with sides a,b,c (see below)

PROOF

The Law of Cosines states that for any triangle ABC, with sides a,b,c

c² = a² + b² - 2ab cos C

PROOF

If ∆ be the area of a triangle ABC, Proved that, ∆ = ½ bc sin A = ½ ca sin B = ½ ab sin C

That is,

(i) ∆ = ½ bc sin A

(ii) ∆ = ½ ca sin B

(iii) ∆ = ½ ab sin C

PROOF