i. Prove that 2 cosec 2 tan sec 2 . ii. Hence a. Solve the equation
Question:
i. Prove that 2 cosec 2θ tanθ Ξ sec2 θ.
ii. Hence
a. Solve the equation 2 cosec 2θ tanθ = 5 for 0 < x < π.
b. Find the exact value of
Transcribed Image Text:
TU 2 cosec 4x tan 2x dx.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 62% (8 reviews)
i To prove that 2 cosec 2 tan sec2 we start with the lefthand side 2 cosec 2 tan 2 1sin 2 sin cos 2cos Using the identity sec2 1cos2 we can rewrite th...View the full answer
Answered By
Anik Kumar Bosu
I am expert in Maths, Physics, Chemistry and Biology. I also teach student from 3 years. Students becomes satisfied by my teaching. So, do not worry.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
a. Prove that 2 cosec 2 tan sec 2 . b. Hence solve the equation cosec 2 tan = 2 for - < < .
-
a. Solve the equation 2 cosec x + 7/cos x = 0 for 0 x 360. b. Solve the equation 7 sin(2y 1) = 5 for 0 y 5 radians.
-
Find the exact value of the expression. tan 75 Rewrite the expression using a sum or difference formula. Choose the correct answer below. O A. tan 75 = tan (120-45) = tan 120-tan 45 1+ tan 120 tan 45...
-
Which one can be considered as the last stage in knowledge management system O A. Identifying O B. Disseminating O C. Capturing O D. Storing
-
In recent news commentaries, it has been argued that the quality of family life has decayed in recent years. Arguments include statements that families do not share meals together. Because of busy...
-
The natural frequencies of a two degree-of-freedom system depend upon the choice of generalized coordinates used to model the system. Indicate whether the statement presented is true or false. If...
-
Write a subroutine wILSON for implementing the Wilson method. Use this program to find the solution of Example 11.7. Data From Example 11.7:- Data From Example 11.3:- Find the response of the system...
-
Anderson acquires 10 percent of the outstanding voting shares of Barringer on January 1, 2013, for $92,000 and categorizes the investment as an available-for-sale security. An additional 20 percent...
-
In light of what you have learned about existing doctrine and the competing interests at stake, consider whether you are satisfied with the law's current approach, and, if not, try to identify...
-
Express each of the following improper fractions as the sum of a polynomial and a proper fraction. a. b. c. d. e. f. 8x 2x-5
-
The diagram shows part of the curve with parametric equations x = 2 In(t + 2), y = t 3 + 2t + 3. i. Find the gradient of the curve at the origin. ii. At the point P on the curve, the value of the...
-
In Problems 11 68, solve each equation. x 3 + x 2 x 1 = 0
-
In 2012, Professor Vasudev Rao, the Dean Administration of T.A. Pai Management Institute (better known as TAPMI) found himself at cross roads. After moving into this picturesque campus in 2010, one...
-
Using Python, write a program that takes input keywords from a list to create a dictionary which consists of all the keywords as keys and their count of occurrence as values. a) Define a main...
-
Consider the following sequence of instructions: Load R4, #100(R2) Add R5, R2, R3 Subtract R6, R4, R5 And R7, R2, R5 Draw each data flow diagram (four individual) of the above instructions and write...
-
4. After graduating from the University of Michigan, you have decided to teach a computer science course of your own. You create for your students some projects to complete, and now you want to write...
-
As a CFO of ABC Corporation you have to analyze a proposal for establishing a small production line of high quality oil filters for general aviation aircraft. ABC has a building that was previously...
-
Kelly has decided to set up a childcare centre in her rapidly growing outer suburb. She estimates that the cost of looking after each child (milk, food, nappies, etc.) would come to $300 per month...
-
a. Show that the expansion of q(x) in ascending powers of x can be approximated to 10 2x + Bx 2 + Cx 3 where B and C are constants to be found. b. Find the percentage error made in using the series...
-
The first, second and third terms of a geometric progression are the first, fourth and tenth terms, respectively, of an arithmetic progression. Given that the first term in each progression is 12 and...
-
Find the number of terms and the sum of each of these arithmetic series. a. 13 + 17 + 21 ++ 97 b. 152 + 149 + 146 ++ 50
-
The first four terms of a geometric progression are 1, 0.5 2 , 0.5 4 and 0.5 6 . Find the sum to infinity.
-
A rope exerts a force of magnitude 750N at an angle 35 degrees above the horizontal, on a cow at rest on a horizontal floor. The coefficient of static friction between the cow and the floor is 0.50....
-
8) A child sits on a plank that is supported by his parents, as depicted in the given diagram below. There is no acceleration. Compare the forces that are provided by the mother (F1) and the father...
-
A plane has a speed of 550 km/h west relative to the air. A wind blows 35 km/h east relative to the ground. What is the plane's speed and direction relative to the ground? A motorboat heads due west...
Study smarter with the SolutionInn App