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What is the value of $$\frac{{32{{\cos }^6}x - 48{{\cos }^4}x + 18{{\cos }^2}x - 1}}{{4\sin x\,\cos x\,\sin \left( {60 - x} \right)\cos \left( {60 - x} \right)\sin \left( {60 + x} \right)\cos \left( {60 + x} \right)}}?$$
In a 200 meters race, Rohan can give Rahul a 20 meters start and in a 36 km race Rahul can give Sanjay a 4 km start. If the speed of Rahul is 36 m/sec then what is the speed of Rohan in m/sec? A. 20 m/sec B. 40 m/sec C. 24 m/sec D. 50 m/sec
নিচের তথ্যগুলো লক্ষ্য কর:(i) 2sinAsinB= cos(A - B) + cos(A + B)(ii) cos C - cos D = 2sinc + D2 sinD - C2(iii) cos 70∘ - cos 10∘ + sin 40∘ = 0নিচের কোনটি সঠিক?
Find the ∫∫x3 y3 sin⁡(x)sin⁡(y) dxdy. ]) b) (-x3 Cos(x) – 3x2 Sin(x) – 6xCos(x)-6Sin(x))(-y3 Cos(y) + 3]) c) (-x3 Cos(x) + 3x2 Sin(x) + 6xCos(x)-6Sin(x))(-y3 Cos(y) + 3y2 Sin(y) + 6yCos(y) – 6Sin(y)) d) (–x3 Cos(x) + 6xCos(x) – 6Sin(x))(-y3 Cos(y))
Evaluate the following:
$$\frac{{\cos 2\theta \cdot \cos 3\theta - \cos 2\theta \cdot \cos 7\theta + \cos \theta \cdot \cos 10\theta }}{{\sin 4\theta \cdot \sin 3\theta - \sin 2\theta \cdot \sin 5\theta + \sin 4\theta \cdot \sin 7\theta }}$$
Six bells make a sound of tick together in the beginning and after every 5 sec, 10 sec, 15 sec, 20 sec, 18 sec, and 21 sec respectively. How many times will the bells ring together in 1.5 hours?
What is the value of cos 46° cos 47° cos 48° cos 49° cos 50° ….
What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?
Five bulls participate in a race, they started running simultaneously from a circular track. They took 100 sec, 200 sec, 300 sec, 400 sec, and 500 sec to complete one round. After how much time do they meet at the starting point for the first time?
If ABCD is a cyclic quadrilateral, then the value of cos A + cos B + cos C + cos D is