Use app×
Ask a Question
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE

Find the minimum value of 3sinθ + 4cosθ.

← Prev Question Next Question →
0 votes
148 views
in Aptitude by (115k points)
closed by

Find the minimum value of 3sinθ + 4cosθ.


1. -5
2. 5
3. -7
4. 7
Play Quiz Games with your School Friends. Click Here

1 Answer

0 votes
by (114k points)
selected by
 
Best answer
Correct Answer - Option 1 : -5

Given:

3sinθ + 4cosθ

Concept Used:

Minimum value of a sinθ + b cosθ is -√(a2 + b2)

Calculation:

Minimum value of 3sinθ + 4cosθ = -√(32 + 42)

⇒ -√25

⇒ -5

∴ The minimum value of 3sinθ + 4cosθ is -5.    

← Prev Question Next Question →

Find MCQs & Mock Test

  1. JEE Main 2025 Test Series
  2. NEET Test Series
  3. Class 12 Chapterwise MCQ Test
  4. Class 11 Chapterwise Practice Test
  5. Class 10 Chapterwise MCQ Test
  6. Class 9 Chapterwise MCQ Test
  7. Class 8 Chapterwise MCQ Test
  8. Class 7 Chapterwise MCQ Test

Related questions

0 votes
1 answer
If 3sinθ + 4cosθ = 5, then find the value of cotθ.
asked Mar 4, 2022 in Trigonometry by Harshwardhan (72.7k points)
0 votes
1 answer
If 4cosθ + 3sinθ = 5, find the value of tanθ.
asked Oct 3, 2020 in Trigonometry by Anika01 (55.5k points)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

User Contribution to Sarthaks eConnect
Managed by Sarthaks Digitizing India
...