 | George Albert Wentworth - 1884 - 330 páginas
...+.4) = -cos .4. Find the value of (i.) cot 840°; (ii.) secSn-. 5. Assuming the formula for the sine of the sum of two angles in terms of the sines and cosines of the separate angles, find (i.) sin 75° ; (ii.) sin 3 A in terms of sin A. 6. Prove the formulas : (1)... | |
 | 1886 - 610 páginas
...cos60 = 1—3 sin20 cos20. 2. Assuming the formulae for the sine or cosine of the sum or difference of two angles in terms of the sines and cosines of the angles themselves, prove the formulae for expressing the sum or difference of two sines or twx1 cosines as a product.... | |
 | George Albert Wentworth - 1887 - 206 páginas
...A) = -cos A. Find the value of (i.) cot 840°; (ii.) sec 3 jr. 5. Assuming the formula for the sine of the sum of two angles in terms of the sines and cosines of the separate angles, find (i.) sin 75° ; (ii.) sin 3 A in terms of sin A. 6. Prove the formulas : (1)... | |
 | George Albert Wentworth - 1887 - 346 páginas
....4) = -cos A. Find the value of (i.) cot 840°; (ii.) sec3ir. 5. Assuming the formula for the sine of the sum of two angles in terms of the sines and cosines of the separate angles, find (i.) sin 75° ; (ii.) sin 3 A in terms of sin A. 6. Prove the formulas : (1)... | |
 | E. J. Brooksmith - 1889 - 356 páginas
...and (8«+ 1) 45°, where « is zero or any positive integer. 3. Find, geometrically, expressions for the sine and cosine of the sum of two angles in terms...of the sines and cosines of the angles themselves. The cosines of two angles of a triangle are - and 1? respectively. Find 613 all the Trigonometrical... | |
 | Henry Nathan Wheeler - 1890 - 248 páginas
...of all the others. §46. To exprès* (he sine and the cosine of the sum and of the difference of any two angles in terms of the sines and cosines of the angles. Z GEXE1ÏAL FORMULAS. [Refer to Figure 34 ii Wheeler's Trigonometry.] Let x and y be n:iy two angles.... | |
 | John Maximilian Dyer - 1891 - 306 páginas
...RESOLUTION OF THE PEODUCTS OP TRIGONOMETEICAL EATIOS. 63. To express the products of the sines and cosines of two angles in terms of the sines and cosines of the snm and difference of the angles. Let A aud В be two angles, A being the greater. We have sin A oos... | |
 | John Bascombe Lock - 1892 - 354 páginas
...same cotangent as the angle a. Solve the equation tan 9 = cot 8. 22. Prove the formula to express the cosine of the sum of two angles in terms of the sines and cosines of those angles. S3. Prove the formula 2 sin $A = ±,s/(l + Bin A) ± ^/(l - sin A). Account for the double... | |
 | John Bascombe Lock - 1896 - 244 páginas
...trigonometrical functions of angles lying between 0 and 45°. 22. Prove the formula to express the cosine of the sum of two angles in terms of the sines and cosines of those angles. Express cos 5 а in terms of cos а. 23. Find solutions of the equations (i.) sec 0 cosec... | |
 | Robert Henry Smith - 1897 - 250 páginas
...1 _ rinig* ' (s'" x) 138. Composite Trigonometrical Reduction. — From the elementary formulae for the sine and cosine of the sum of two angles, in terms of the sines and cosines of these angles, we may write : Since p = (p - 1) + 1 sin px = sin (p - 1) x . cos x + cos (p - 1 ) x... | |
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To express the sine and cosine of the sum of two angles in terms of the sines and cosines of the angles. 
