Without using trigonometric tables, evaluate: (cos2560 + cos2 340) / (sin2560+ sin2340) + 3 tan2 560tan2340 - Maths - Introduction to Trigonometry

Question

Without using trigonometric tables, evaluate:
(cos2560 + cos​2
340) / (sin2560+
sin2340) + 3 tan2
560tan2340

Rishabh Mittal · Accepted Answer

cos256°+cos234°sin256°+sin234°+3tan256°tan234°=cos256°+cos290-56sin256+sin290-56+3tan256tan290-56=cos256+sin256sin256+cos256+3tan256cot256    Since sin90-x=cos x , cos90-x=sin x and tan90-x=cot x=11+3tan256tan256     Since sin2x+cos2x=1=1+3=4   ANS

Without using trigonometric tables, evaluate: (cos2560 + cos​2 340) / (sin2560+ sin2340) + 3 tan2 560tan2340.

Without using trigonometric tables, evaluate: (cos²56⁰+ cos² 34⁰) / (sin²56⁰+ sin²34⁰) + 3 tan² 56⁰tan²34⁰.