Question

cos²∅(1+tan²∅) = 1
plzzz answer me​

Answer 1

Step-by-step explanation:

cos^2Φ{1+tan^2Φ}

1+tan^2Φ=sec^2Φ..................(eq1)

putting eq 1 in question

cos^2Φ(sec^2Φ) = 1

{1/cos^2Φ = sec^2Φ}

hence proved

Answer 2

Step-by-step explanation:

$lhs = { \cos(?) }^{2} (1 + { \tan(?) }^{2} \\ \: \: \ \: \: \: \: = \frac{1}{? {sec(?) }^{2} } \times { \sec(?) }^{2} \\ \: \: \: \: \: \: \: = 1 \\ \: \: \: \: \: \: \: = rhs$