Trigonometry Past Paper PDF

ELEMENTS IN MATHEMATICS, CONOMICS, BASIC ENGINEERING SCIENcIs AND ME LAWS TRIGONOMETRY TRIGONOMETRY "he sum of the angles in an octan...

ELEMENTS IN MATHEMATICS, CONOMICS, BASIC ENGINEERING SCIENcIs AND ME LAWS TRIGONOMETRY TRIGONOMETRY "he sum of the angles in an octant spheric triangle is A. 180 C. 360° Sin A cos B - cos A sin B is equivalent to: 8. 270 D. 540° A. cos(A-B) C. tan(A- B) Aase; B B D. ccs2(A- B) sin (A - B) The median of a triangle the line connecting the vertex and the nidpoint of the opposite side. For a given triangle, these medians intersects al a point which is called the The angular distance of a point on the terrestrial sphere fron the north pole is called orthocenter C.centroid B circumcenter D. incenter A. coaltitude C. allitude SBm; C B. latitude D. codeclination The altitudes of the sides of the triangle intersects at the point known Csc 520° is equal to A orhocenter C. incenter 3. circumcenter D. centroid A. COB 20o C. tan 45° B. CSc 20° D, sin 20° tnsmi A tann B The angle which the line of sight to the object makes with the What is the sine of 820°? torizontal which is above the eye of the observer is called A. angle of depression C. acute angle A. 0.984 C. -0.866 B. angle of elevation D. bearing B 0.866 D. -0.5 tauan:B Saanen: A Log M- log N id equal to The logarithm of the negative number is A imaginary C. real A log MN C. logM N B irrational D. rallonal log (m - N) D. log (N- M) CYns; A tamen:C The sum of the squares of the sine and cosine of an angle. The other fcrm of log, N=b is A. N =b' C.N = ab A C. 2 a B, 1 D. 3 B. N = a D.N= Cnnee: B The logarithm of a number to the base e (2.7182..) is called The point of concurrency of the altitude of the triangle. A Naplerian logarithm C. Mantissa B. Characteristic orthocenter C. metacenter D. Briggsian logarithm 8 cetrold D. incenter Yauan: A The characteristic is equal to the exponent of 10, when the numter is aan A written in The pTint of concurrency of the perpendicular bisector of the sides of the triangle. A exponential form C. logarithmic furm B scientific notation D. irrational number A orthocenter C. centroid B circumcenter D. incenter CoTee: C Hae: B Napierian logarithms have a base closest to which number? The point of concurrency of the angle bisector of the triangle is called A 2.72 C. 2.92 B. 2.82 D. 10 ortnocenter C. centroid 6. circumcenter D. incenter cohn: A ai:D The logarithm of 1 to any base 0s The logarithm of the reciprocal of N is called the of N. A. indeterminate C. infinity A. antilogarithm C. natural logarithm zero D. one B. colTgarithm D. Briggsian logarithm Yeaan: B Ya; B The inverse unction of a logarithm is known as Sin (270° + B) is equal to A. anälogarithm C. antideravative A. -cos B C. -sir B e.. cologarithm D. antecedent 8. sinß D. cos B nn: A nar:: A The cologarthm of a number is the of the logarithm of a number. ELEMENTS IN MATHEMATICS, ECONOMICS, BASIC ENGINEERING SCIENCES AND ME LAWS PLUS I MISCELLANEOUS ELEMENTS ELEMENTS IN MATHEMATICS, ECONOMICS, BASIC ENGINEERING sCIENCEs AND ME LAWS TRIGONOMETRY 15 A. positive C. negative To change log, to log N, multiply log. N by B. absolute value D. reciprocal A. log, b B. log a C. logN a D. logb The first table logarithms with 10 as base was developed in 1615 ty tani B The numbers log. b and log ba are A James Naismith C. John Napier 8. Henry Briggs D. John Wallis A. equal C. reciorocal to each other oam: B B. equal but different in slgns D. negative reciprocal to each other Who invented logarithms in 1614? Logarithm using 10 as base. A. John Wallis C.John Napier B Henry Briggs D. L'Hospltal A. Decimal logarithm C. Common logarithm B. Scientific logarithm D. Natural logarithm The numter log, b is called the of the system of a base a with respect to the system of base b. The ogarithm of a product is the of the logarithms, and the logarithm of aquotient is the of the logarithms. A. coefficient C. modu us B kogarithm D. exporent A. sum, difference C. quotient, product 8. difference, sum D. product, quotient Co:: A Napierian logarithm has a base of A. When a logarithm is expressed as an integer plus a decimal C. 1 (between 0 and 1), the integer is called B, 10 D. e ctanen: D C. Mantissa A. Briggsian logarithm B. Napierian logarithm D. Characteristic Log x In x. ha: D A. 0.434 C. 2.303 B. 10 D, e tma: A The characteristic of a logarithm is 3. The number between A. 1 and 10 C. 100 and 1000 In x= log x. B. 10 and 100 D. 1000 and 10000 A. 0.434 C. 2.303 hK:; D B. 10 D. e The characteristics of the common logarithm of a number greater than 1is Which of the following cannot be a base for a logarithm? A.. zero C. negative B. positive D. zero or positive A. 10 C. 1 B. D. e The characteristic is the exponent of 10, when the number is written in scientific notation. The integral·part of a common logarithm is A. equal to C. less than greater than D. none of the above A 10 C. mantissa B. e D. characteristic GYeee: A onvea: D If logarithm to base 10(denoted as log10) is called common logarithnm The mantissa of a logarithm is a is called natural logarithm, what do you cal the logarithm of base 2 (denotes as Ib)? A. positive value only C.positive value, negat ve A Binary logarithm C. Bilogarithm value or zero B. Bit logarithm D. All of the above B. negative value only D.positive value or zero Golen: A teunn:i D If the unknown is a conditional equation occurs as an exponent, the For 0 < x< 1, In x is best way to solve the unknown 0s by A. positive C.negative A raising the power of both sides B. zero D.between 0 and 1 B. taking the logarithm of both sides C. extracting the root of both sides D. applying the Newon's method If 1< N< 10, then vuse: B A 1 < log N