Elementary TrigonometryMacmillan and Company, 1893 - 404 páginas |
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Página 4
... Example 2. Reduce 12 ° 13 ′ 14.3 ′′ to centesimal measure . This angle 13578487 ... ofaright angle = 138 57 ' 84.9 " . 60 ) 14.3 seconds 60 ) 13-238333 ... minutes 90 ) 12-2206388 ... degrees 13578487 ... of a right angle . EXAMPLES . I ...
... Example 2. Reduce 12 ° 13 ′ 14.3 ′′ to centesimal measure . This angle 13578487 ... ofaright angle = 138 57 ' 84.9 " . 60 ) 14.3 seconds 60 ) 13-238333 ... minutes 90 ) 12-2206388 ... degrees 13578487 ... of a right angle . EXAMPLES . I ...
Página 8
... Example 1. ABC is a right - angled triangle of which C is the right angle ; if a = 3 , b = 4 , C , and also sin A and cot B. Here c2 = a2 + b2 = ( 3 ) 2 + ( 4 ) 2 = 9 + 16 = 25 ; find .. c = 5 . BC 3 Also sin A = 3 AB 5 ' BC 3 cot B ...
... Example 1. ABC is a right - angled triangle of which C is the right angle ; if a = 3 , b = 4 , C , and also sin A and cot B. Here c2 = a2 + b2 = ( 3 ) 2 + ( 4 ) 2 = 9 + 16 = 25 ; find .. c = 5 . BC 3 Also sin A = 3 AB 5 ' BC 3 cot B ...
Página 10
... Example . ABC is a right - angled triangle of which A is the right angle . BD is drawn perpendicular to BC and meets ... EXAMPLES . II . 1. The sides AB , BC 10 [ CHAP . ELEMENTARY TRIGONOMETRY .
... Example . ABC is a right - angled triangle of which A is the right angle . BD is drawn perpendicular to BC and meets ... EXAMPLES . II . 1. The sides AB , BC 10 [ CHAP . ELEMENTARY TRIGONOMETRY .
Página 13
... Example . Prove that cosec A tan A = sec A. 1 tan A 1 sin A 1 cosec A tan A = X sin A cos A COS A = sec A. 24. We frequently meet with expressions which involve the square and other powers of the trigonometrical ratios , such as ( sin A ) ...
... Example . Prove that cosec A tan A = sec A. 1 tan A 1 sin A 1 cosec A tan A = X sin A cos A COS A = sec A. 24. We frequently meet with expressions which involve the square and other powers of the trigonometrical ratios , such as ( sin A ) ...
Página 14
... Example 1. Prove that cos1 A - sin1 A = cos2 A - sin3 A. cos1 A - sin1 A = ( cos2 A + sin2 A ) ( cos2 A – sin2 A ) = cos2 4 - sin2 A , since the first factor is equal to 1 . - Example 2. Prove that cot a 1 - cos2 a = cos a . cot a 1 ...
... Example 1. Prove that cos1 A - sin1 A = cos2 A - sin3 A. cos1 A - sin1 A = ( cos2 A + sin2 A ) ( cos2 A – sin2 A ) = cos2 4 - sin2 A , since the first factor is equal to 1 . - Example 2. Prove that cot a 1 - cos2 a = cos a . cot a 1 ...
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Términos y frases comunes
1+cos 1+tan² a+cos A+tan acute angle angle of elevation B+cos centre circle College cos² cos³ cosec cosine cot² cyclic quadrilateral decimal denote diff equal equation ex-central triangle Example expression Fcap feet Find the angle find the distance find the height Find the number Find the value flagstaff following identities formula given log greatest angle Hence horizontal plane hypotenuse inscribed LAOB loga logarithm magnitude miles negative number of radians observer pedal triangle perpendicular polygon positive Prof Prove the following quadrant quadrilateral radian measure radius vector regular polygon right angle right-angled triangle sec² sexagesimal shew sides sin sin sin sin² sin³ sine solution solve the triangle subtends an angle supplementary angles tan² tangent tower triangle ABC trigono trigonometrical functions trigonometrical ratios π π
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