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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 {[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 $$\frac{{32{{\cos }^6}x - 48{{\cos }^4}x + 18{{\cos }^2}x - 1}}{{4\sin x\,\cos x\,\sin \left( {60 - x} \right)\cos \left( {60 - x} \right)\sin \left( {60 + x} \right)\cos \left( {60 + x} \right)}}?$$
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°.
If sin θ1 + sin θ2 + sin θ3 + sin θ4 = 4, then what is the value of cos θ1 + cos θ2 + cos θ3 + cos θ4?
What is the value of [(sin 59° cos 31° + cos 59° sin 31°) ÷ (cos 20° cos 25° - sin 20° sin 25°)]?
If A + B = 90°, then which of the following is correct? A. sin A = cos B B. sin A + cos B = 0 C. sin A – cos B = 1 D. sin A – cos B = 2