Question

Show that,
1/cos teta - cos teta =tan teta ×sin teta.​

Answer 1

Step-by-step explanation:

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Answer 2

Question:

Show that,

$\frac{1}{ \cos } \theta - \cos \theta \: = \tan \theta \times \sin \theta$

Solution:

L.H.S.

$</u><u>\</u><u>i</u><u>m</u><u>p</u><u>l</u><u>i</u><u>e</u><u>s</u><u> </u><u>\frac{1 - { \cos }^{2} \theta}{ \cos \theta }</u><u> </u><u>=</u><u> </u><u>\tan \theta \times \sin \theta</u><u>$

$</u><u>\</u><u>i</u><u>m</u><u>p</u><u>l</u><u>i</u><u>e</u><u>s</u><u> \frac{{ \sin }^{2} \theta}{ \cos \theta } </u><u>=</u><u> </u><u>\tan \theta \times \sin \theta</u><u> </u><u>$

$</u><u>\</u><u>i</u><u>m</u><u>p</u><u>l</u><u>i</u><u>e</u><u>s</u><u> </u><u>\frac{ \sin }{ \cos \theta} \times \sin \theta</u><u> </u><u>=</u><u>\tan \theta \times \sin \theta</u><u>$

$</u><u>\</u><u>i</u><u>m</u><u>p</u><u>l</u><u>i</u><u>e</u><u>s</u><u> </u><u>\tan \theta \times \sin \theta</u><u> </u><u>=</u><u>\tan \theta \times \sin \theta</u><u>$

Therefore,

L.H.S. = R.H.S.