Question

(1-sin^2 thita) .sec^2 prove that ​

Answer 1

$\huge\bf { \red T \green O \: \pink P \blue R \orange O \purple V \red E\green{...}}$

$\implies \sf (1 - { \sin}^{2} \theta). { \sec}^{2} \theta=1$

$\huge\bf { \red S \green O \pink L \blue U \orange T \purple I \red O \pink N \green{...}}$

$\implies \sf (1 - { \sin}^{2} \theta). { \sec}^{2} \theta$

$\implies \sf ( { \cos}^{2} \theta). { \sec}^{2} \theta$

$\implies \sf \bigg({ \dfrac{1}{ \cos} \bigg)}^{2} . { \sec}^{2} \theta$

$\implies \sf \dfrac{1}{ { \cancel{\sec}^{2} \theta}} . { \cancel{ \sec}^{2} \theta}$

$\implies \sf1$

LHS = RHS