Trigonometry for Beginners As Far As the Solution of Triangles
Trigonometry for Beginners As Far As the Solution of Triangles
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-. Sin^— = sinr900 -^^=cos^. [Art. 94. ] EXAIUPLES. XLIV.
Find A from each of the six following equations, A being an angle of a triangle.
1. Cos^ = J. 2. Cos^=-J. 3. BmA = i.
4. Tan^=-l. 5. J2 8mA=:h 6. TanA^-JS.
Prove the following statements, A, Bj G being the angles of a triangle.
7. Sin(^ + B + C) = 0. 8. Cos(^+J5 + C)=-l.
9. Binj(^ + B + 0) = 1. 10. Cosi{A + B + C)=0, 11, tan(^ + J5)=-tanC. 12. Cot J (J5+. C) = tanp.
13. Cos(^+^)=-cosC. 14. Cos(^ + 5-C)=-cos2a 15. Tan A-cotB=cos G . Sec A... . Cosec B, - - sin ^ - sin P, G . A-B 16. -^ — : : — ^ = tan — . Tan — ^r— .
"■ 6m^4-sm5 2 2 sin 3 B -sin 3(7 _^ 3jl ^^' cos3C-cos3^~*^'' 2 • 104 TRIGONOMETRY, 154. II. To prove a = ^JJosjC^ 4- c cos^S^ From A, any one of the angular points, draw AD per- pendicular to BO, or to £C produced if necessary.
There will be three cases. Fig. I. When both B and are acute angles ; Fig. Ii. When one of them (^) is obtuse ; Fig. Iii. When one of them (B) is a right angle. Then, CD rig. I.
What to read after Trigonometry for Beginners As Far As the Solution of Triangles?
You can find similar books in the "Read Also" column, or choose other free books by J B John Bascombe Lock to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
-. Sin^— = sinr900 -^^=cos^. [Art. 94. ] EXAIUPLES. XLIV.
Find A from each of the six following equations, A being an angle of a triangle.
1. Cos^ = J. 2. Cos^=-J. 3. BmA = i.
4. Tan^=-l. 5. J2 8mA=:h 6. TanA^-JS.
Prove the following statements, A, Bj G being the angles of a triangle.
7. Sin(^ + B + C) = 0. 8. Cos(^+J5 + C)=-l.
9. Binj(^ + B + 0) = 1. 10. Cosi{A + B + C)=0, 11, tan(^ + J5)=-tanC. 12. Cot J (J5+. C) = tanp.
13. Cos(^+^)=-cosC. 14. Cos(^ + 5-C)=-cos2a 15. Tan A-cotB=cos G . Sec A... . Cosec B, - - sin ^ - sin P, G . A-B 16. -^ — : : — ^ = tan — . Tan — ^r— .
"■ 6m^4-sm5 2 2 sin 3 B -sin 3(7 _^ 3jl ^^' cos3C-cos3^~*^'' 2 • 104 TRIGONOMETRY, 154. II. To prove a = ^JJosjC^ 4- c cos^S^ From A, any one of the angular points, draw AD per- pendicular to BO, or to £C produced if necessary.
There will be three cases. Fig. I. When both B and are acute angles ; Fig. Ii. When one of them (^) is obtuse ; Fig. Iii. When one of them (B) is a right angle. Then, CD rig. I.
What to read after Trigonometry for Beginners As Far As the Solution of Triangles?
You can find similar books in the "Read Also" column, or choose other free books by J B John Bascombe Lock to read onlineMoreLess
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