Question

(1+ tan² theta) (1- sin² theta)=1

Answer 1

Answer:

$==: (1 + tan^{2}a) (1 - sin^{2} a)\\==: (1 + tan^{2}a) cos^{2} a\\==: cos^{2}a + tan^{2}a * cos^{2} a\\==: cos^{2}a + \frac{sin^{2}a }{cos^{4}a } \\==: cos^{2}a + \frac{1 - cos^{2}a }{cos^{4}a }\\==: \frac{cos^{4}a + 1 - cos^{2}a }{cos^{4}a}\\ ==: \frac{cos^{2}a (cos^{2}a - 1) + 1 }{cos^{4}a} \\==: \frac{cos^{2}a - 1 + 1 }{cos^{2}a}\\==: 1$

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