Question 58

Whatis the value of $$\frac{\cosec(78^\circ + \theta) - \sec(12^\circ - \theta) - \tan(67^\circ + \theta) + \cot(23^\circ - \theta)}{\tan 13^\circ \tan37^\circ \tan45^\circ \tan53^\circ \tan77^\circ}$$

Solution

$$\frac{\cosec(78^\circ + \theta) - \sec(12^\circ - \theta) - \tan(67^\circ + \theta) + \cot(23^\circ - \theta)}{\tan 13^\circ \tan37^\circ \tan45^\circ \tan53^\circ \tan77^\circ}$$

$$\frac{\cosec(90^\circ - (12^\circ - \theta)) - \sec(12^\circ - \theta) - \tan(90^\circ -  (23^\circ - \theta)) + \cot(23^\circ - \theta)}{\tan 13^\circ \tan37^\circ \tan45^\circ \tan53^\circ \tan77^\circ}$$

$$\frac{\sec(12^\circ - \theta) - \sec(12^\circ - \theta) - \cot(23^\circ - \theta) + \cot(23^\circ - \theta)}{\tan 13^\circ \tan37^\circ \tan45^\circ \tan53^\circ \tan77^\circ}$$

$$\frac{0}{\tan 13^\circ \tan37^\circ \tan45^\circ \tan53^\circ \tan77^\circ}$$ = 0


Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

cracku

Boost your Prep!

Download App