Question

show that (1+tan^2 A) cos^2A =1​

Answer 1

Step-by-step explanation:

( 1 + tan²A ) * Cos²A

Sec²A * Cos²A

1/Cos²A * Cos²A

= 1

HENCE PROOF

Answer 2

Answer:

$(1 + tan {}^{2}a)cos {}^{2} a = 1 \\ cos {}^{2} a + cos {}^{2} a \times tan {}^{2} a = 1 \\ cos {}^{2} a + cos {}^{2} a \times \frac{sin {}^{2}a }{cos {}^{2}a } = 1 \\ = cos {}^{2} a + sin {}^{2} a = 1 \\ we \: know \: that \: sin {}^{2} a + cos {}^{2} a = 1 \\ so \: \: 1 = 1 \\ lhs = rhs \: \: (proved)$

Hey! Mate Here is your solution. Thanks