Advertisements
Advertisements
प्रश्न
Evaluate the following: cot20° cot40° cot45° cot50° cot70°
उत्तर
cot20° cot40° cot45° cot50° cot70°
= cot(90° - 70°) x cot(90° - 50°) x 1 x cot50° x cot70°
= tan70° x tan50° x cot50° x cot70°
= tan70° x cot70° x tan50° x cot50°
= `tan70° xx (1)/(tan70°) xx tan50° xx (1)/(tan50°)`
= 1.
APPEARS IN
संबंधित प्रश्न
Solve the following equation for A, if sin 3 A = `sqrt3 /2`
Solve the following equations for A, if `sqrt3` tan A = 1
Solve for 'θ': cot2(θ - 5)° = 3
Evaluate the following: `((1 - cosθ)(1 + cosθ))/((1 - sinθ)(1 + sinθ)` if θ = 30°
Find the value 'x', if:
Find the value 'x', if:
A ladder is placed against a vertical tower. If the ladder makes an angle of 30° with the ground and reaches upto a height of 18 m of the tower; find length of the ladder.
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: cosec64° + sec70°
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: tan77° - cot63° + sin57°
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: sin53° + sec66° - sin50°
