Calendar: 1870-1871 Page 519

GENERAL LITERATURE AND SCIENCE 519 Solve the equation sin βθ cos β Show that sin -g tan Ρ 2sjpq and Β being acute angles show that sin A- sin cos Β cos sin and deduce the expansion of cos Find the length of degree of the meridian upon glole π feet in diameter Prove the formula- cos sin Ζ --- -2 sin cos sin it tin sin γ 10 If tan β ----1 then cot cot β cot are in sm AP show this 11 cu si sin η sin Λ 11 Show that---------- cos cos η cos η tan η 12 The length of the shadow of tower whose height is is found at two different times of the same day to be and respectively the difference between the sun's altitude on the two occasions being show that Λ2 cot ab 13 Show that sin β sin β γ sin γ β β γ γ sin-- sin--י- sin I- 14 Solve the equation- sin θ sin θ sin -f- sin β 15 The sides of triangle are in AP the common difference being and the area being 3V15 find the sides 16 If AD is the perpendicular from on the side Β οΐ triangle ABC and Ji'and OF are drawn perpendicular to AB respectively show that EF area of triangle 17 If tan θ η tan φ show that tan2 θ φ cannot exceed -i