Question

Evaluate (1-sin²o) (1+tan²o)​

Answer 1

Answer:

cos2o×sec2o as sin2o + cos2o =1

Answer 2

Step-by-step explanation:

${\bold{\sf{(1-sin² \: \theta) (1+tan² \: \theta)}}}$

${\bold{\sf{\fbox{\pink{Applying ( a² - b²) = (a - b) ( a + b)}}}}}$

${\bold{\sf{→ (1 \: - \: sin \theta)(1 \: + \: sin\theta)(1 \: + \: tan\theta)}}}$

${\bold{\sf{→ (1 \: - \: sin² \theta)(sec² \theta)}}}$

${\bold{\sf{→ (cos² \theta)(sec² \theta)}}}$

${\bold{\sf{→ (\frac{1}{sec² \theta}) \: \times \: (sec² \theta)}}}$

${\bold{\sf{→ 1}}}$

${\large{\sf{\fbox{\orange{Have A Beautiful Day Ahead}}}}}$