...the complement of PQR, and therefore the angle JRPQ is equal to A. Now PM RM+PR AP QN PR AP 2. Cos (A + B) in terms of sines and cosines of A and B. Employing the same fig. as in Art. 1, we have AM _AN- MN__ AN QR _ AQ'AP QP'AP 3. Tan (A + B) in terms...

...of rotation, without altering its length, deduce the ordinary formulae for cos (A + B), cos(A—B), sin (A + B), and sin (A — B), in terms of sines...the curves bisects the intercepts of the asymptotes. 10. If a chord of a hyperbola be one diagonal of a parallelogram whose sides are parallel to the asymptotes,...

...and tangent of 960°. Obtain the expression for the general value ot all angles whose 3. Obtain cos (A — B) in terms of sines and cosines of A and B ; and cos A — cos B as a product of sines or cosines. 4. Prove that sin -^-= +s/Ti-sm A + ^/l—...

...of 960°. Obtain the expression for the general value of all angles whose sine = £. 3. Obtain cos ( A — B) in terms of sines and cosines of A and B', and cos A —cos В as a product of sines or cosines. 4. Prove that sin -^= -f^/l + sin A+^/l— sin...

...and tangent of 960°. Obtain the expression for the general value of all angles whose 3. Obtain cos (A — B) in terms of sines and cosines of A and B : and cos A — cos B as a product of sines or cosines. A _____ ___ 4. Prove that sin -^-= +^/l+sin...

...angle in terms of the tangent. If- tan 0= _, , 1 - x cos <l, 1-y cos 6 prove that SL? = x sm0 y 3. Find sin (A + B) in terms of sines and cosines of A and B. Find also sin T,A and cos 2A in terms of sin A, and if A is less than 180°, prove that sin i,A is...

...of rotation, without altering its length, deduce the ordinary formula} for cos (A + B), cos (.4 — B), sin (A + B), and sin (A — B\ in terms of sines...points where the tangents meet the asymptotes : and the secant through the points of contact bisects the intercepts on the asymptotes. 9. Any two tangents,...