Advertisements
Advertisements
Question
Evaluate the following: cosec 54° - sec 36°
Advertisements
Solution
cosec 54° - sec 36°
= cosec(90° - 36°) - sec36°
= sec36° - sec36°
= 0.
APPEARS IN
RELATED QUESTIONS
State for any acute angle θ whether tan θ increases or decreases as θ decreases.
Find the magnitude of angle A, if tan A - 2 cos A tan A + 2 cos A - 1 = 0
Solve for x : 2 cos (3x − 15°) = 1
Solve for x : sin2 x + sin2 30° = 1
Solve for x : sin2 60° + cos2 (3x- 9°) = 1
Find the length of EC.
In the given figure, a rocket is fired vertically upwards from its launching pad P. It first rises 20 km vertically upwards and then 20 km at 60° to the vertical. PQ represents the first stage of the journey and QR the second. S is a point vertically below R on the horizontal level as P, find:
a. the height of the rocket when it is at point R.
b. the horizontal distance of point S from P.
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: cos72° - cos88°
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: cosec64° + sec70°
If cosθ = sin60° and θ is an acute angle find the value of 1- 2 sin2θ
