Question

Which of the following is equal to tan Ɵ + cot Ɵ ?
(a) 1/ cot Ɵ + tan Ɵ
(b) sin Ɵ + cos Ɵ/ (sin Ɵ) (cos Ɵ)
(c) tan^2 Ɵ + 1
(d) (sec Ɵ) ( csc Ɵ)
(e) sec^2Ɵ

Answer 1

\[\frac{\sin(\theta)}{\cos(\theta)} + \frac{\cos(\theta)}{\sin(\theta)} \implies \frac{\sin^2(\theta) + \cos^2 (\theta)}{\sin(\theta) \cdot \cos(\theta)} \implies \frac{1}{\sin(\theta) \cdot \cos(\theta)} \implies cosec(\theta) \cdot \sec(\theta)\]

Answer 2

what does it say after 1/ sin θ cosθ ?

Answer 3

\[\frac{1}{\sin(\theta)} = cosec(\theta)\]

\[\frac{1}{\cos(\theta)} = \sec(\theta)\]

Answer 4

thank you :)

Answer 5

Welcome dear..