Question

*Tell the answer to this question*
*No Cheating*
*The correct answer with correct explanation will be marked the brainliest*
​

Answer 1

$[theta \: \: taken \: \: as \: \alpha ]$

$\sec( \alpha ) = \cosec( \alpha )$

$\frac{1}{ \cos( \alpha ) } = \frac{1}{ \sin( \alpha ) }$

$\cos( \alpha ) = \sin( \alpha )$

We know that ;

$\cos(45) = \frac{1}{ \sqrt{2} } \\ \sin(45) = \frac{1}{ \sqrt{2} }$

$\tt{So , \alpha = 45 \: \: \: satisfies \: \: \: the \: \: \: equation}$

Converting 45° to radians ;

To convert degree to radians multiply by pi/180

$45 \times \frac{\pi}{180} \\ \\ canceling \: \: by \: \: 5 \\ \\ \frac{9\pi}{36} \\ \\ canceling \: \: by \: \: 3 \\ \\ \frac{3\pi}{12} \\ \\ canceling \: \: again \: \: by \: \: 3 \\ \\ \frac{\pi}{4}$

$\boxed{ \large{\bf{ \alpha = \frac{\pi}{4} } \: radians}}$

$\\ \\ \\ \\ \red{ \bf{Hope \: \: this \: \: helps \: \: you \: !}}$

Kindly Report , if not satisfied!! :)

Answer 2

Answer:

[thetatakenasα]

\sec( \alpha ) = \cosec( \alpha )sec(α)=cosec(α)

\frac{1}{ \cos( \alpha ) } = \frac{1}{ \sin( \alpha ) }

cos(α)

1

=

sin(α)

1

\cos( \alpha ) = \sin( \alpha )cos(α)=sin(α)

We know that ;

\begin{gathered}\cos(45) = \frac{1}{ \sqrt{2} } \\ \sin(45) = \frac{1}{ \sqrt{2} }\end{gathered}

cos(45)=

2

1

sin(45)=

2

1

\tt{So , \alpha = 45 \: \: \: satisfies \: \: \: the \: \: \: equation}So,α=45satisfiestheequation

Converting 45° to radians ;

To convert degree to radians multiply by pi/180

\begin{gathered}45 \times \frac{\pi}{180} \\ \\ canceling \: \: by \: \: 5 \\ \\ \frac{9\pi}{36} \\ \\ canceling \: \: by \: \: 3 \\ \\ \frac{3\pi}{12} \\ \\ canceling \: \: again \: \: by \: \: 3 \\ \\ \frac{\pi}{4}\end{gathered}

45×

180

π

cancelingby5

36

9π

cancelingby3

12

3π

cancelingagainby3

4

π