Logarithmic Trigonometry

Geometry Level 2

log ( sin 3 0 ) + log ( cos 3 0 ) + log ( tan 3 0 ) + log ( csc 3 0 ) + log ( sec 3 0 ) + log ( cot 3 0 ) = ? \log(\sin 30^\circ) + \log(\cos 30^\circ) + \log(\tan 30^\circ) + \log(\csc 30^\circ) + \log(\sec 30^\circ) + \log(\cot 30^\circ) = \, ?

1 Indeterminate π \pi 0

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Ashish Menon
Jun 1, 2016

log ( sin 30 ) + log ( cos 30 ) + log ( tan 30 ) + log ( csc 30 ) + log ( sec 30 ) + log ( cot 30 ) = log ( sin 30 × cos 30 × tan 30 × csc 30 × sec 30 × cot 30 ) = log ( 1 ) = 0 \begin{aligned} \large \log\left(\sin 30\right) + \log\left(\cos 30\right) + \log\left(\tan 30\right) + \log\left(\csc 30\right) + \log\left(\sec 30\right) + \log\left(\cot 30\right) & = \log\left(\sin 30 × \cos 30 × \tan 30 × \csc 30 × \sec 30 × \cot 30\right)\\ & = \log\left(1\right)\\ & = \color{#69047E}{\boxed{0}} \end{aligned}

Nice sol. , +1! Can you please try my question

Rishabh Tiwari - 5 years ago

Log in to reply

Yeah sure.

Ashish Menon - 5 years ago

Log in to reply

And this one , thnx buddy!😃

Rishabh Tiwari - 5 years ago

I have posted three problems today , I don't understand why they don't get rated.! Can you plz suggest me something.? Btw your problems are nice.!

Rishabh Tiwari - 5 years ago

Log in to reply

@Rishabh Tiwari It might get rated till tomorrow. I automatically gets rated once enough pwople have viewed it.

Ashish Menon - 5 years ago

Log in to reply

@Ashish Menon Hey Ashish, being inspired from you I have started learning Latex a bit, Here's my question , please try and do comment, I want atleast this one to get rated, hope u like it as a challenge!👍😉

Rishabh Tiwari - 5 years ago

@Ashish Menon Ok thank you😃.

Rishabh Tiwari - 5 years ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...