Waste less time on Facebook — follow Brilliant.
×

Minimum Value

I recently solved a trigonometric question which asked for the minimum value of the \((\sin\theta + \csc\theta)^{2}+(\cos\theta +\sec\theta)^{2}\).I found there ar two answers, which one of them is correct?

A)8 B)9

Please help....

Note by Puneet Pinku
1 year, 2 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

Sort by:

Top Newest

Hint: Expand and simplify the expression by using \(\sin^2 A + \cos^2 A = 1\). Then apply double angle formula \(\sin(2A) = 2\sin A \cos A\).

Pi Han Goh - 1 year, 2 months ago

Log in to reply

Can you show your working?

I believe that you didn't check the conditions under which we could apply arithmetic mean - geometric mean.

Calvin Lin Staff - 1 year, 2 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...