Question
The diameter of a hollow hemisphere is 40 cm. Water is
filled in it up to its brim. When spherical lead shots each of diameter 0.8 cm are dropped into the hemisphere, threefifths of the water flows out. How many lead shots were dropped into the hemisphere?ÂSolution
The correct answer is A
sin10Ëš x sin20Ëš x sin40Ëš =?Â
- Find the value of sin²10° + sin²80° + cos²15° + cos²75°.
Evaluate the following:
sin 50° × cos 20° − sin 20° × cos 50°
Simplify the following trigonometric expression:Â
15 cos 25° cosec 65° − 5 cot 80° cot 10°
If sinθ = 5/13 for an acute angle θ, find:
(a) cosθ, (b) tan(90° − θ).
If tan theta = 5/12 and theta is acute, then the value of (1 - sin theta)/(1 + sin theta) is:
If 9sin²x + 5cos²x − 7 = 0, then find the value of sinx, given that 0° < x < 90°.
Simplify (cos13°+sin 13°) /(cos13°-sin13°)
Evaluate the following:
cos 45° × cos 45° − sin 45° × sin 45°
Find the maximum value of 18 sin A + 7 cos A.