Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

Given that tan x =5/13,find the value of the following without using mathematics tables or a calculator:

Given that tan x =5/13,find the value of the following without using mathematics tables or a calculator:
(a) Cost x
(b) Sin²(90 – x)

Answers

sharon kalunda answered the question on May 6, 2019 at 07:27

Answer Attachments

Next: Huku ukirejelea hadithi za: i) Mapenzi ya kifaurongo ii) Shogake dada ana ndevu iii) Mame Bakari Fafanua maudhui ya mapenzi kama yanavyosawiriwa.

Previous: Kwa kurejelea hadithi zozote tano katika ‘Tumbo lisiloshiba na Hadithi nyingine’, fafanua maudhui ya utabaka.

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

Given that Log3 = 0.4771 and log 5 = 0.6990, evaluate the following without using logarithm table or calculator. (Solved)

Given that Log3 = 0.4771 and log 5 = 0.6990, evaluate the following without using logarithm table or calculator.
(a) Log 135
(b) Log 1125

Date posted: May 6, 2019 . Answers (1)
Mr. Wanyama has a plot that is in a triangular form. The plot measures 170m, 190m and 210m, but the altitudes of the plot as... (Solved)

Mr. Wanyama has a plot that is in a triangular form. The plot measures 170m, 190m and 210m, but the altitudes of the plot as well as the angles are not know. Find the area of the plot in hectares.

Date posted: May 6, 2019 . Answers (1)
(a) Find the greatest common divisor of the term 9x³y² and 4xy⁴. (Solved)

(a) Find the greatest common divisor of the term 9x³y² and 4xy⁴.
(b) Hence factorise completely the expression 9x³y² – 4xy⁴.

Date posted: May 6, 2019 . Answers (1)
In a Chemistry experiment, a boy mixed some acid solution of 45% concentration with an acid solution of 25% concentration. In what proportion should the... (Solved)

In a Chemistry experiment, a boy mixed some acid solution of 45% concentration with an acid solution of 25% concentration. In what proportion should the two acids be mixed in order to get 100cm³ of solution of 30% concentration?

Date posted: May 6, 2019 . Answers (1)
A farmer has a piece of land measuring 840m by 396m. He divides it into square plots of equal size. Find the maximum area of one... (Solved)

A farmer has a piece of land measuring 840m by 396m. He divides it into square plots of equal size. Find the maximum
area of one plot.

Date posted: May 6, 2019 . Answers (1)
Simplify the expression. (Solved)

Simplify the expression.

Date posted: May 6, 2019 . Answers (1)
Evaluate the following; (Solved)

Evaluate the following;

Date posted: May 6, 2019 . Answers (1)
Given the equations: y=4 -x² and y=x²-2x; (Solved)

Given the equations: y=4 -x² and y=x²-2x;
a) Find the co-ordinates of the points where the two curves meet. (2 marks)
b) Find the co-ordinates of points where y=4 -x² meet:
(i) The x-axis.
(ii) The y-axis
c) Find the co-ordinates of the points where y=x²– 2x meet;
(i) The x-axis
(ii) The y-axis
d) Sketch the two curves above on the same axes
e) Find the area enclosed between the curves y=4-x² and y=x² – 2x.

Date posted: May 6, 2019 . Answers (1)
Compete the table below (Solved)

Compete the table below

b) On the same axes draw the graphs of y= sin(x+30)^o and y= 2cos(x+30)^o.
c) Use your graphs to solve the equation 2cos(x+30)^o – sin(x+30)^o = 0
d) State the amplitude of each wave.

Date posted: May 6, 2019 . Answers (1)
The position of two towns P and Q are given to the nearest degrees as P(45^oN, 110^oW) and Q (45^oN, 70^oE) Take ??=3.142, Radius of... (Solved)

The position of two towns P and Q are given to the nearest degrees as P(45^oN, 110^oW) and Q (45^oN, 70^oE) Take 𝜋=3.142, Radius of the earth R = 6370km. Find
a) The distance between the two towns along the parallel of latitude in km.
b) The distance between the towns along a parallel of latitude in nautical miles.
c) A plane flew from P to Q taking the shortest distance possible. It took the plane 15 hours to move from P and Q.
Calculate it’s speed in knots

Date posted: May 6, 2019 . Answers (1)
In the figure below, E is the midpoint of AB, OD:DB=2:3 and F is the point of intersection of OE and AD. (Solved)

In the figure below, E is the midpoint of AB, OD:DB=2:3 and F is the point of intersection of OE and AD.

a) Given that OA = a and OB = b , express in terms of a and b
i) OE
ii) AD
b) Given further that AF = tAD and OF = sOE where s and t are scalars, find the values of s and t.
c) Show that O, F and E are collinear.

Date posted: May 6, 2019 . Answers (1)
a) PQRS is a quadrilateral with vertices p(1, 4) Q(2, 1), R(2, 3) and S(6, 4). On the grid provided plot the quadrilateral (Solved)

a) PQRS is a quadrilateral with vertices p(1, 4) Q(2, 1), R(2, 3) and S(6, 4). On the grid provided plot the quadrilateral
b) Draw P1Q1R1S1 the image of PQRS under a positive quarter turn about the origin and write down its co-ordinates.
c) Draw P11Q11R11S11 the image of P1Q1R1S1 under the transformation whose matrix is and write down its co-ordinates.
d) Determine the matrix T of a single transformation that maps PQRS onto P11Q11R11S11

Date posted: May 6, 2019 . Answers (1)
In a geometrical progression, the sum of the second and third terms is 6; and the sum of the third and fourth terms is -12.... (Solved)

In a geometrical progression, the sum of the second and third terms is 6; and the sum of the third and fourth terms is -12. Find:
a) (i) The first term
(ii) The common ration
b) The sum of number of consecutive terms of an arithmetical progression is -19 ½ ; the first term is 16 ½ ; and the common difference is -3. Find the number of terms.

Date posted: May 6, 2019 . Answers (1)
The table below shows the number of students who scored marks in mathematics test. (Solved)

The table below shows the number of students who scored marks in mathematics test.

a) Draw a cumulative frequency graph for the data.
b) Use the graph to estimate the median mark.
c) If students who score over 40 marks pass the tests estimate the percentage of the students
i) who passed
ii) who failed

Date posted: May 6, 2019 . Answers (1)
X and Y are two variables such that Y is partly constant and partly varies inversely as the square of X. If Y = 3... (Solved)

X and Y are two variables such that Y is partly constant and partly varies inversely as the square of X. If Y = 3 when X= 2 and Y = 5 when X = 1, find Y when X = 4.

Date posted: May 6, 2019 . Answers (1)
Make y the subject of the formula given (Solved)

Make y the subject of the formula given

Date posted: May 6, 2019 . Answers (1)
The equation of a circle centre (h, k) is 2x² + 2y²– 8x + 5y + 10 = 0. Find the values of h and... (Solved)

The equation of a circle centre (h, k) is 2x² + 2y²– 8x + 5y + 10 = 0. Find the values of h and k.

Date posted: May 6, 2019 . Answers (1)
Find the midpoint of the straight line joining A (2, 1) and D (6,5). (Solved)

Find the midpoint of the straight line joining A (2, 1) and D (6,5).

Date posted: May 6, 2019 . Answers (1)
Without using mathematical tables or calculator; evaluate: (Solved)

Without using mathematical tables or calculator; evaluate:

Date posted: May 6, 2019 . Answers (1)
Find the equation of the normal to the tangent of the curve y=x³ – 3x² + 2x + 1 at the point where x=3. Leave... (Solved)

Find the equation of the normal to the tangent of the curve y=x³ – 3x² + 2x + 1 at the point where x=3. Leave your answer in the form y=mx + c.

Date posted: May 6, 2019 . Answers (1)