sin 1 y y θ = = 1 csc y θ = cos 1 x x θ = = 1 sec x θ = tan y x θ = cot x y θ = Range The range is all possible values to get out of the function 1 sin 1 θ − ≤ ≤
Trig Cheat Sheet
UNDERSTAND KEY FEATURES OF GRAPHS OF TRIG FUNCTIONS tan 45° = sin 45° cos 45° = √2 2 √2 2 = 1 cot 45° = 1 Example 7 Find sec( 4 )
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The trigonometric functions sine, cosine and tangent of θ are defined as: sinθ = The following triangles help us work out the exact values of sin, cos and tan of
BasicTrigonometric Functions
Ex Find the exact values of all 6 trigonometric functions of the angle θ shown in the sin hyp 13 θ = = adj 12 cos hyp 13 θ = = opp 5 tan adj 12 θ = = hyp 13 csc
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Table of Trigonometric Functions – Exact Values for Special Angles Angle θ Values of the trigonometric functions in degrees in radians sin(θ) cos(θ) tan(θ)
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6 mar 2021 · tan = sin(a+)=sin a cos ß tano cos a sin ß Pythagorean Identities cos(a +B)= cos a cos Domain The domain is all the values of a that Period
Trig Cheat Sheet
Trigonometric Table Angle Angle Tangent Degrees Radians Sine Cosine Tangent 460 0 000 0 017 0 035 0 052 sin(A I B) = sin A cos B I cos A sin B
Trigonometric Table
Table of Trigonometric Functions degree radian sin cos tan cot sec csc 0 0 0 1 0 undefined 1 undefined 30 π 6 1 2 3 2 3 3 3 2 3 3 2 45 π 4 2 2 2 2 1
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sint = 1 csc t cost = 1 sec t tant = 1 cot t = sin t cos t csct = 1 sin t sect = 1 cos t cott = 1 tan t = cos t sin t Table 6 1: Reciprocal and Quotient Identities 4
Lect Identities
sin. 1 y y ? = = 1 csc y ? = cos. 1 x x ? = = 1 sec x ? = tan y x ? = cot x y ? = Facts and Properties. Domain. The domain is all the values of ? that.
The range is all possible values to get out of the function. 1 sin Tangent and Cotangent Identities sin cos tan cot cos sin.
Table of Trigonometric Functions degree radian sin cos tan cot sec csc. 0. 0. 0. 1. 0 undefined. 1 undefined. 30 ?. 6. 1. 2. 3. 2. 3. 3. 3. 2 3. 3. 2. 45 ?.
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The equality is valid for all values of x since tan–1x and cot–1x are Example 30 The greatest and least values of (sin–1x)2 + (cos–1x)2 are respectively.
sin -1 or arcsin is the inverse of the restricted sine function y = sin x
20 cos 30° + 4 sin 60° - 2 tan 60° can be written in the form ? where is an integer. Work out the size of angle y. Work out the area of the triangle
The six trigonometric functions can be used to find the ratio of the side lengths. The six functions are sine (sin) cosine (cos)
cos t csct = 1 sin t sect = 1 cos t cott = 1 tan t. = cos t sin t . Table 6.1: Reciprocal and Quotient Identities. 4. Page 5. Section 2: The Elementary
Cos sin and tan values can also be calculated using a scientific calculator. Using the table of exact values and the symmetry of the unit circle it is ...