In the triangle ABC, angle A = 90 and sec B = 2. a. Work out the

Question:

In the triangle ABC, angle A = 90° and sec B = 2.

a. Work out the size of angles B and C.

b. Find tan B.

c. Show that 1 + tan² B = sec² B.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics

ISBN: 9781510421646

1st Edition

Authors: Val Hanrahan, Jeanette Powell

See More Books

Question Posted: Sep 03, 2021 01:51 AM

See More Questions

In triangle ABC, angle B is five times as large as angle A. The measure of angle C is 2o less than that of angle A. Find the measures of the angles.
In triangle ABC, angle B is twice as large as angle A. Angle C measures 20o more than angle A. Find the measures of the angles.
A beam ABC with an overhang from B to C is constructed of a C 10 Ã 30 channel section (see figure). The beam supports its own weight (30 lb/ft) plus a triangular load of maximum intensity q0...
A force F = (3.00 N)i + (7.00 N)j + (7.00 N)k acts on a 2.00 kg mobile object that moves from an initial position of di = (3.00 m)i (2.00 m)i + (5.00 m)k to a final position of df = (5.00 m)i +...
Explain what is involved in determining the composition of a compound of C, H, and O by combustion.
Innovative Systems (IS) is a division of Global Electronics, Inc. IS produces videogame systems. These systems are sold to retailers. IS recently approached the manager of the Laptop Computer...
Based on what you just read, is Disney the kind of organization for which you would enjoy working? Why or why not? LO3
Rutherford Wheel and Axle, Inc. has an automate production process, and production activity is quantified in terms of process hours. A standard-costing system is used. The annual static budget for...
Exercise 1 - 1 1 ( Algo ) Cost Behavior; Contribution Format Income Statement [ LO 1 - 4 , L 0 1 - 6 ] Harris Company manufactures and sells a single product. A partially completed schedule of the...
TufStuff, Inc., sells a wide range of drums, bins, boxes, and other containers that are used in the chemical industry. One of the companys products is a heavy-duty corrosion-resistant metal drum,...
Prove that 1 (sin con ) 2 /sin cos = 2.
a. Apply these transformations to the graph of y = sin x. b. Sketch the graph of y = sin x and the transformed curve on the same axes. c. State the amplitude and period of the transformed graph. d....
Reconsider Prob. 1101. Using EES (or other) software, investigate the effect of the number of people carried in the balloon on acceleration. Plot the acceleration against the number of people, and...
2. (40 marks) Solve for y(t) such that y" - 6y' + 15y = 2 sin(3t),
6. Determine output class A{ ); } public static void main(String args[]) { int x; x = 10; if (x == 10) { int y = 20; System.out.print ("x and y: y = x*2; + y); } y = 100; } System.out.print ("x and...
Anita and Bonita have been roommates for the past two years while they've been in graduate school. Now that they're graduating, they are each planning to move to different cities. Their one joint...
To what extent are business ethics assumed, or taken for granted, by people in businesses?
Empowered by what he has learned in this class about gender, Brady makes a friendly wager with his girfriend, Marlisa: "I bet I can guess how the men and women at the next table will behave during...
Pew Research Center surveyed adults who were 1864 years old and had their own children under age 18 living in their household in 2015 on the amount of time spent on various activities. The results...
Does log 81 (2401) = log 3 (7)? Verify the claim algebraically.
The diagram shows a semi-circle with diameter EF of length 12 cm. Angle GEF = radians and the shaded region has an area of A cm 2 . a. Show that A = 36 + 18 sin 2. b. Given that is increasing at a...
The diagram shows an isosceles triangle PQR inscribed in a circle, centre O, radius r cm. PR = QR and angle ORP = radians. Triangle PQR has an area of A cm 2 . a. Show that A = r 2 sin 2 + r 2 sin 2...
A curve is such that dy/dx = 6x(x 1). Given that the curve passes through the point (1, - 5) find the equation of the curve.
During 2024, its first year of operations, Hollis Industries recorded sales of $11,900,000 and experienced returns of $760,000. Cost of goods sold totaled $7,140,000 (60% of sales). The company...
What is the value of a 15% coupon bond with 11% return? Is it a discount or a premium bond?
A manufacturer with a December 31 taxation year end sells new machinery for $50,000 on January 2, 2022. The cost of the machinery is $20,000. The terms of the sale require an initial payment of...

In the triangle ABC, angle A = 90 and sec B = 2. a. Work out the

Question:

Step by Step Answer:

Given A 90 as sec B 2 ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics

Students also viewed these Sciences questions