Question

proove that sin ^2 . cot ^2+ cos ^2. tan^2=1
plzz help
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Answer 1

$\star\:\:\:\bf\large\underline\blue{Given\:To\:Prove:-}$

• $\sin^{2} \alpha \times \cot^{2} \alpha + \cos^{2} \alpha \times { \tan}^{2} \alpha=1$

$\star\:\:\:\bf\large\underline\blue{Proof:-}$

• $\bf\underline\blue{LHS:-}$

${ \sin }^{2} \alpha \times { \cot}^{2} \alpha + { \cos}^{2} \alpha \times { \tan}^{2} \alpha$

$= ( \cancel{{ \sin }^{2} \alpha } \times \frac{ { \cos }^{2} \alpha }{ \cancel{{ \sin }^{2} \alpha }} ) + ( \cancel {{ \cos }^{2} \alpha} \times \frac{ \sin^{2} \alpha }{ \cancel{{ \cos }^{2} \alpha }} )$

$= { \cos }^{2} \alpha + { \sin }^{2} \alpha$

$= 1$

• $\bf\large\underline\blue{RHS:-}$

$= 1$

Therefore,

${ \sin }^{2} \alpha \times { \cot}^{2} \alpha + { \cos}^{2} \alpha \times { \tan}^{2} \alpha = 1$

Hence Proved.

Answer 2

Answer:

hey watch the above pic for ur answer of the question hope it helps