Question

Sin theta x COS theta x Tan theta x co sec theta x sec theta x Cot theta =​

Answer 1

Answer:

1

Step-by-step explanation:

sin theta x cos theta x tan theta x cosec theta x sec theta x cot theta =

sin theta = 1/ cosec theta

cos theta= 1/ sec theta

tan theta = 1/ cot theta

1/cosec theta x 1/sec theta x 1/cot theta x cosec theta x sec theta x cot theta.

= 1

Answer 2

Solution :

$\implies \sin \theta\times \cos \theta\times \tan\theta \times \csc\theta \times \sec\theta \times \cot\theta \\ \\ \implies \sin \theta \times \cos\theta \times \frac{ \cancel{\sin\theta}}{ \cos\theta} \times \frac{1}{ \cancel{\sin\theta}} \times \frac{1}{\cancel{ \cos\theta}} \times \frac{ \cancel{\cos\theta}}{ \sin\theta} \\ \\\implies\cancel{ \sin\theta } \times \cancel{\cos\theta} \times \frac{1}{ \cancel{\cos\theta}} \times \frac{1}{\cancel{\sin\theta}} \\ \\\implies1 \times 1 \times 1 \times 1\\ \\ \implies1$

Identity used :

$\large \tan\theta = \frac{ \sin\theta}{ \cos\theta} \\ \\ \large\cot \theta = \frac{ \cos\theta}{ \sin\theta} \\ \\ \large \csc \theta= \frac{1}{ \sin\theta} \\ \\\large \sec \theta= \frac{1}{ \cos\theta}$