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MCR 3UI – Trigonometric Ratios of Special Angles. Find the exact value of the following: a) sin 2 45 + 2sin30 sec30 c) sin 2 30 +. cos 30. e) sin60 cos30 + sin30 cos60. g) 5sec30 tan60. 2 i) 3sin 45 +. 2 4cos 45. 2 2 k) sec 45 csc 45 - 1. 2.
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The special triangles are two triangles that are very easy to work with in trigonometry. The angles are simple to calculate and their sides are easy to determine, so the trig ratios associated with them are easily expressed.
Solutions 1. a) b) **Note: Above shows only one way of drawing components. Using 1a as an example, you may also have drawn: **Also Note: for example, sin(57°) = cos(33°) so you can always change the angle I’ve given you by just remember that the angles add to 90°. (I don’t bother doing that but you can and its something
Special+Angles+1+worksheet+SOLUTIONS - Free download as PDF File (.pdf) or read online for free.
Exact Trig Values of Special Angles Date_____ Period____ Find the exact value of each trigonometric function. ... Worksheet by Kuta Software LLC . h 8 e s 6 p 4 d t 3 K w o i N Z 8 r i h Y f Y E h 1 U M G g k C P R Q k c c K 5 5 v J L 3 c c j a W a W m k t 3 L S 2 D v g z z w J F 6 y w 6 e v 8 N 8 p J. 9) cos θ 10) tan θ ...
Consider a right-angled triangle with angle θ and side lengths x, y and h as shown: θ x y h The trigonometric functions sine, cosine and tangent of θ are defined as: sinθ = opposite hypotenuse = y h, cosθ = adjacent hypotenuse = x h tanθ = opposite adjacent = y x = sinθ cosθ 71
