Question

Find the value of tan ²0 (1+Cot²o)​

Answer 1

Answer:

sec^2

Step-by-step explanation:

= (sin^2/cos^2)(1+cos^2/sin^2)

= (sin^2/cos^2)(sin^2+cos^2/sin^2)

= (sin^2/cos^2)(1/sin^2)

( sin^2 will get cancelled)

=1/cos^2

=sec^2

Answer 2

Answer:

Formula used :

• tan∅ = 1/cot∅
• 1 + tan²∅ = sec²∅

$\longmapsto \tan {}^{2} ( \theta) (1 + \cot {}^{2} ( \theta)) \\ = \tan {}^{2} ( \theta) + \tan {}^{2} ( \theta) . \cot {}^{2} ( \theta) \\ = \tan {}^{2} ( \theta) + 1 \\ = \boxed{ \sec {}^{2} ( \theta)}✓$

• tan²∅(1+cot²∅) = sec²∅ is the right answer.