Question

Plz plz solve this. ​

Answer 1

Explanation:

Disclaimer: When writing this on the paper use the theta symbol, I'm using x since I'm on mobile.

2.

i).

`\sin(x) \tan(x) \sec(x) = \tan {}^(2) (x)`

`\sin(x) \sec(x) \tan(x) = \tan {}^(2) (x)`

`\sin(x) (1)/( \cos(x) ) \tan(x) = \tan {}^(2) (x)`

`( \sin(x) )/( \cos(x) ) \tan(x) = \tan {}^(2) (x)`

`\tan( x) ) \tan(x) = \tan {}^(2) (x)`

`\tan {}^(2) (x) = \tan {}^(2) (x)`

iii).

`\sec {}^(2) (x) (1 - \sin {}^(2) ( x ) ) = 1`

`\sec {}^(2) (x) ( \cos {}^(2) (x) ) = 1`

`\frac{1}{ \cos {}^(2) (x) } \cos {}^(2) (x) = 1`

`1 = 1`

v).

`\cot {}^(2) (a) - \cos {}^(2) (a) = \cot {}^(2) (a) \cos {}^(2) (a)`

`\frac{ \cos{}^(2) (x) }{ \sin {}^(2) (x) ) } - \cos {}^(2) (x)`

Factor out cosine

`\cos {}^(2) (x) ( \frac{1}{ \sin {}^(2) (x) } - 1)`

Simplify

`\cos {}^(2) (x) ( \frac{1 - \sin {}^(2) (x) }{ \sin(x) }`

`\cos {}^(2) (x( \frac{ \cos {}^(2) (x) }{ \sin {}^(2) (x) } ) =`

`( \cos {}^(2) ( x ) ( \cot {}^(2) (x) )`