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... formula , and prove that it applies to the sphere . 12. A circular cone with semivertical angle a has its vertex at the centre of a sphere of radius r . Show that the volume common to the cone and sphere is ar3 ( 1 - cos ) . HONOURS ...
... formula , and prove that it applies to the sphere . 12. A circular cone with semivertical angle a has its vertex at the centre of a sphere of radius r . Show that the volume common to the cone and sphere is ar3 ( 1 - cos ) . HONOURS ...
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... formula for sin ( A + B ) . ( b ) Thence find sin 34 and sin 15 ° . 3. ( a ) Factor the expressions sin S + sin T and cos S + cos T. ( b ) If A + B + С = л , cos 2A + cos 2B + cos 2C + 1 = -4 cos A cos B cos C. 4. ( a ) When is small ...
... formula for sin ( A + B ) . ( b ) Thence find sin 34 and sin 15 ° . 3. ( a ) Factor the expressions sin S + sin T and cos S + cos T. ( b ) If A + B + С = л , cos 2A + cos 2B + cos 2C + 1 = -4 cos A cos B cos C. 4. ( a ) When is small ...
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... formula and apply it to find the volume of a frustum of a pyramid . 6. Show that the volume of a paraboloid of revolution is one - half that of the circumscribing cylinder . 7. Find the centre of figure of an arc of a circle . 8. If an ...
... formula and apply it to find the volume of a frustum of a pyramid . 6. Show that the volume of a paraboloid of revolution is one - half that of the circumscribing cylinder . 7. Find the centre of figure of an arc of a circle . 8. If an ...
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... formula cos a = cos b cos c + sin b sin c cos A and deduce the formula sin A = 1 = sin b sin c1 - cos2a - cos2b - cos2c + 2cos a cos b cos c . 2. ( a ) Given the Napier's formula tan ( A - B ) = deduce the polar formula . cos ( a — b ) ...
... formula cos a = cos b cos c + sin b sin c cos A and deduce the formula sin A = 1 = sin b sin c1 - cos2a - cos2b - cos2c + 2cos a cos b cos c . 2. ( a ) Given the Napier's formula tan ( A - B ) = deduce the polar formula . cos ( a — b ) ...
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... formula + ..... X- -b x · ux = Ua • x -c'a · -C + ..... and show that it applies to both the direct and the inverse problems of interpolation . 9. Prove that f ( E ) a * q ( x ) = a * f ( aE ) ç ( x ) ; and thence show that the finite ...
... formula + ..... X- -b x · ux = Ua • x -c'a · -C + ..... and show that it applies to both the direct and the inverse problems of interpolation . 9. Prove that f ( E ) a * q ( x ) = a * f ( aE ) ç ( x ) ; and thence show that the finite ...
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