Question

Without using the trigonometric table evaluate the following:
cot 30°÷sec30°+cosec 30°÷tan 45-2cos 0°÷sin 30+cos2 45°​

Answer 1

Answer:

step 1 putting the value of all theta then use simplify method and get required answer

Answer 2

• Given:- cot 30°÷sec30°+cosec 30°÷tan 45-2cos 0°÷sin 30+cos2 45°​

• To find:- The value without using the trigonometric table

• Solution:-

Cot30°/sec30° + cosec 30°/tan 45° - 2cos0°/sin30° + cos²45°

= cos²30°/sin30°+ cosec30°[cot45°- 2cos0°] +cos²45°

(as cos 0° = cot45° & cos0° = cos²0° )

= cos²30°/sin30°+ cosec30° cos0° +cos²45°

= cosec30° (cos²30°-cos²0°) + cos²45° - cosec 30° - sin²30° +cos45°

(as cos²45°= sin30° )

= cos²45°-sin30° = 0

So the final answer is 0