...ON OP' _ OP; OP OP ' ON = 2 cos СOD cos BOD a A+B AB = 2 COS - s— COS - rr— . EXERCISE VI. 1. Find the number of degrees in the angle whose circular measure is approximately '0314159. 2. Prove that (1) cot* A cos2 A = cot' A — cos2 A , (3) tan2 A + cot' A =...

...22 1. Define a degree. Assuming that — is the circular measure of 2 rt. angles, express the angles A° in circular measure. Find the number of degrees in the angle whose circular measure is •!. 2. Find all the trigonometrical ratios of the angle whose . -3 cosine is - . 5 3. Prove that...

...UNIVERSITY PREVIOUS EXAMINATION PAPERS. December 10, 1879. 1— 3£ PMA 1. Dr.nNj; 1*. Assuming that if- is the circular measure of two right angles, express the angle A" in circular measure. Find the numher of degrees in the angle whose circular measure is •I. 2. Define the sine, secant, and cotangent...

...(Cambridge, Eng. 2nd Previous Exam., Dec. 10, 1879 . Time, 2i hours.) 1. Define 1°. Assuming that -^Я is the circular measure of two right angles, express the angle A° in circular measure. 2. Define the sine, secant, and cotangent of an angle, and express any two of these ratios in terms...

...(Cambridge, Eng. 2nd Previous Exam., Dee. 10, 1879. Time, 2J hours.) 1. Define 1°. Assuming that ty is the circular measure of two right angles, express the angle A° in circular measure. 2. Define the sine, secant, and cotangent of an angle, and express any two of these ratios in terms...

...59'. (Cambridge, Eng. 2ndPreviouiExam.,Dec.lQ,'l8'!9. Time, 2J houri.) 1. Define 1°. Assuming that ty is the circular measure of two right angles, express the angle A° in circular measure. 2. Define the sine, secant, and cotangent of an angle, and express any two of these ratios in terms...

...(Cambridge, Eng. 2nd Previous Exam., Dec. 10, 1879. Time, 2% hours.) 1. Define 1°. Assuming that %f- is the circular measure of two right angles, express the angle A° in circular measure. 2. Define the sine, secant, and cotangent of an angle, and express any two of these ratios in terms...

...number of degrees or of grades in an angle whose circular measure is given; or conversely. Example. Find the number of degrees in the angle whose circular measure is 6. We have я-' = 180°, . io _ 180° ' ' 7Г ' ir л the number of degrees required is — . IT 50....

...; find the cosine of the angle between two consecutive strings. 25. Define 1°. Assuming that Y 1S the circular measure of two right angles, express...the trigonometrical ratios of the angle whose cosine isf. 27. Prove that (1) oos(180» + 4)=cos(180°-J4); (2) tan (90°+4)=cot(180»-^). 28. Prove sin...

...200 тг' where o?, # and в are respectively the number of degrees, grades and radians in an angle. Find the number of degrees in the angle whose circular measure is If. 2. If A OP, AOP are two acute angles such that sin^OP=¿, cosAOP=~, show that 0, P and P lie in...