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Evaluate the following:
$$\frac{{\cos 2\theta \cdot \cos 3\theta - \cos 2\theta \cdot \cos 7\theta + \cos \theta \cdot \cos 10\theta }}{{\sin 4\theta \cdot \sin 3\theta - \sin 2\theta \cdot \sin 5\theta + \sin 4\theta \cdot \sin 7\theta }}$$
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))
The value of the expression:sin21° + sin211° + sin221° + sin231° + sin241° + sin245° + sin249° + sin259° + sin269° + sin279° + sin289° is?
What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?
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)]?
What is the value of $$\frac{{32{{\cos }^6}x - 48{{\cos }^4}x + 18{{\cos }^2}x - 1}}{{4\sin x\,\cos x\,\sin \left( {60 - x} \right)\cos \left( {60 - x} \right)\sin \left( {60 + x} \right)\cos \left( {60 + x} \right)}}?$$
যদি limx→afx=l এবং limx→agx=m হয়-i. limx→afx-gx=l-mii. limx→agxfx=mliii. limx→agxfx=lmনিচের কোনটি সঠিক ?
যদি  limx→a  f(x) = I  এবং limx→a  g (x) = m  হয় - i. limx→a [f(x) - g(x)] = l - m ii. limx→ag(x)  f(x) = ml iii.   limx→ag(x)f(x) = ml নিচের কোনটি সঠিক?
The value of [sin (X + Y) cos (X + Y) + sin (X - Y) cos (X - Y)]/[sin (X + Y) cos (X - Y) + sin (X - Y) cos (X + Y)] is:
Find the value of (cos x + cos y) (sin x – sin y) / (cos x – cos y) (sin x + sin y), where x = 90° and y = 0°.