Question

evaluate cosec31°-sec59°

Answer 1

cosec(90°-31°) - sec59°
sec59-sec59
=0

Answer 2

Answer:

$\csc 31^\circ-\sec 59^\circ=0$

Step-by-step explanation:

Given : Expression $\csc 31^\circ-\sec 59^\circ$

To find : The value of the given expression?

Solution :

We know that,

$\csc A = \sec(90^\circ-A)$

Now, We re-write the given expression as

$\csc 31^\circ-\sec 59^\circ$

$=\csc (90-31)^\circ-\sec 59^\circ$

$=\sec 59^\circ-\sec 59^\circ$

$=0$

Therefore, $\csc 31^\circ-\sec 59^\circ=0$