What is the minimum value of 3 cosx + 4 sinx + 8?

Asked by Last Modified  

2 Answers

+2 Mathematics Introduction to Trigonometry

Follow 0
Answer

Please enter your answer

Ankit Agrawal

Concept buliding

f(x) = 3cosx + 4sinx + 5 f '(x) = -3sinx + 4cosx 0 = -3sinx + 4cosx 3sinx = 4cosx tanx = 4/3 x = 0.927 + npi radians for all integers, n f ''(x) = -3cosx - 4sinx f ''(0.927) = -5 0 so a minimum occurs at x = 4.069 f(0.927 + pi) = f(4.069) = 0
read more
f(x) = 3cosx + 4sinx + 5 f '(x) = -3sinx + 4cosx 0 = -3sinx + 4cosx 3sinx = 4cosx tanx = 4/3 x = 0.927 + npi radians for all integers, n f ''(x) = -3cosx - 4sinx f ''(0.927) = -5 < 0 so a maximum occurs at x=0.927 f ''(0.927 + pi) = 5> 0 so a minimum occurs at x = 4.069 f(0.927 + pi) = f(4.069) = 0 read less
Comments
Dislike Bookmark

An Experienced Trainer

9
Comments
Dislike Bookmark

Related Questions

Which tools requires for online tutions? How much average charges maths 12th standard?
600 - 800/- per hour
Ravi
identify the region |z-2|<8&|z-1|<|z-5|
first we have to change inequality sign to equality sign.then |z-2|=8 represent a circle whose center lies on real axis in argand plane at (2,0) with radius 8.in complex no. |z-q| represent distance b/w...
Sandeep
2 0
View Comments6
Light consists of particle wave called __________. (Proton, Electron, Neutron, Photon
Photon
Narendra Kumar
0 0
View Comments8
. Photoelectric effect is a phenomenon in which electromagnetic waves exhibit __________. (wave nature, particle nature, both wave and particle nature, none of these)
Particle nature
Narendra Kumar
1 0
View Comments6
If the magnetic field is uniform, then the magnetic lines of forces are __________. (Curved, Parallel, Perpendicular, None of these)
Parallel and spaced uniformly
Narendra Kumar
0 0
View Comments7

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Trigonometric Ratio
A ratio is a statement of a mathematical relationship comparing two quantities, often represented as a fraction. If we consider an angle A in a right angled triangle, we can construct various ratios to...

Vijaya Kumar Jayanthi

2 0
View Comments0
The Strategies that Set Top Students Apart
Study Tips 1: Focus on mastery Study Tips 2: Find the value for you Study Tips 4: Build your competence and gain confidence Study Tips 5: Think critically about what you’re learning Study Tips...
P

Piyush Chauhan

0 0
View Comments0
For IIT/NEET Aspirants Class 12 Chemistry: Stability Of Metal Alkyl Complex
One determinant of the kinetic stability of metal-alkyl complexes is the presence of hydrogen at the position beta to the metal. If such hydrogens are present and if the metal centre is coordinatively...

Nidhi T.

0 0
View Comments0
If (x+a)(x+1991) + 1 Can Be Factored As (x+b)(x+c) Where B,C Are Integers Then Find The Sum Of All Possible Integral Values Of A?
Answer: Method 1: x^2+(1991+a)x+1991a+1 Now for integers d should be either 0 or perfect square so, (1991+a)^2-4*1991a-4 (1991-a)^2-4 (1989-a)(1993-a) They both can be equal so for d = 0 a = 1989,...

Sujoy Das

2 0
View Comments0
Differentiating 2(x^2) using first principle
Differentiate 2x² using first principle We know from first principle that dy/dx f(x) = lim δx→0 /δx Here f(x) = 2 x² substituting 2x² in place of x in the equation above lim...

B.sudhakar

3 0
View Comments0

Recommended Articles

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Meet Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Hyderabad
Class 12 Tuition in Mumbai
Class 12 Tuition in Chennai
Class 12 Tuition in Kolkata
Class 12 Tuition in Pune
Class 12 Tuition in Jaipur
Class 12 Tuition in Noida
Class 12 Tuition in Gurgaon
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you