Question

find the value oh cos 50 and cosec 40

Answer 1

sin 50 / cos40 + Cosec 40 / sec50 - 4cos50cosec40

= cos 40 / cos 40 + sec 50/ sec 50 - 4sin 40 Cosec 40

= 1 + 1 - 4

= -2

Answer 2

Answer:

The required value is 1

Step-by-step explanation:

We need to find the value of : cos 50° × cosec 40°

Solution :

Since , cos ( 90 - α ) = sin α

⇒ cos 50 ° = cos ( 90 - 40 )

                  = sin 40°

Also, cosec α × sin α = 1

$\implies \csc40=\frac{1}{\sin 40}$

Now, cos 50° × cosec 40° = sin 40° × cosec 40°

$\implies \cos 50\times\csc 40=\sin 40\times\frac{1}{\sin 40}\\\\\implies \cos 50\times\csc 40=1$

Hence, The required value is 1