Question

2cos square theta ( 1 + tan square theta)​

Answer 1

Answer:

cos aur tan ki value ko Ham sin aur cos me change karke nikal sakte hain Hum answer

Answer 2

$2 \cos {}^{2} θ \times (1 + \tan {}^{2} θ ) = 1 \\ taking \: lhs \\ 2 \cos {}^{2} θ\times (1 + \tan {}^{2} θ ) \\ 2 \cos {}^{2} (θ) + 2 \cos {}^{2} θ \times \tan {}^{2} θ \\ {} 2( \cos {}^{2} { } θ + \cos {}^{2} θ \times tan {}^{2} θ) \\ 2( \cos {}^{2} { } θ + \cos {}^{2} θ \times \frac{ \sin {}^{2} θ }{ \cos {}^{2} θ } \\ since( \: cos {}^{2} θ) \: get \: cancelled\\ \\ 2(cos {}^{2}θ + sin {}^{2} θ) \\ \\ since \: we \: know \: that \: \\ (cos {}^{2}θ + sin {}^{2} θ) = 1 \\ so \: \ \\ = \ 2 \times (1) \\= 2 \: \: is \: required \: answer$