Question

if cosec B = sec B than the value of B is ?​

Answer 1

Answer:

The value of B is 45 degrees or pi/2

Step-by-step explanation:

We know that

$cosecB=\frac{1}{sinB} \\secB=\frac{1}{cosB}$

We are given that

$cosec B = sec B \\\frac{1}{sinB} =\frac{1}{cosB} \\\\cosB=sinB\\sin(\frac{\pi }{2} - B)=sinB\\(\frac{\pi }{2} - B)=B\\\frac{\pi }{2} = 2B\\B=\frac{\pi }{4}=45 degree$

Answer 2

Answer:

The value of B is 45 degrees or pi/2

Step-by-step explanation:

We know that

\begin{gathered}cosecB=\frac{1}{sinB} \\secB=\frac{1}{cosB}\end{gathered}

cosecB=

sinB

1

secB=

cosB

1

We are given that

\begin{gathered}cosec B = sec B \\\frac{1}{sinB} =\frac{1}{cosB} \\\\cosB=sinB\\sin(\frac{\pi }{2} - B)=sinB\\(\frac{\pi }{2} - B)=B\\\frac{\pi }{2} = 2B\\B=\frac{\pi }{4}=45 degree\end{gathered}

cosecB=secB

sinB

1

=

cosB

1

cosB=sinB

sin(

2

π

−B)=sinB

(

2

π

−B)=B

2

π

=2B

B=

4

π

=45degree

I hope it's helpful