Verify each of the following : (i) cos 60 cos 30 - sin 60 sin 30 = 0 (ii) cos 60 = (1 - 2 sin230 ) = (2 cos230 - 1) (iii) tan 30 =

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(i) cos 60 cos 30 - sin 60 sin 30 = = 0. Hence, proved that cos 60 cos 30 - sin 60 sin 30 = 0. (ii) As, sin2 30 = (sin 30 )2 = cos2 30 = (cos 30 )2 = Therefore Left Hand Side : cos 60 = Right Hand Side : (1 - 2 sin230 ) =1 - 2 (2 cos230 - 1) = 2 - 1 = Hence proved that cos 60 = (1 - 2 sin230 ) = (2 cos230 - 1). (iii) Left Hand Side : tan 30 = Right Hand Side Hence proved that tan 30 =

Mathematics

Verify each of the following : (i) cos 60 cos 30 - sin 60 sin 30 = 0 (ii) cos 60 = (1 - 2 sin230 ) = (2 cos230 - 1) (iii) tan 30 =

Trigonometrical Ratios

Related Questions

Verify each of the following :
(i) sin 60° cos 30° - cos 60° sin 30° = sin 30°
(ii) 2 sin 30° cos 30° = sin 60°
(iii) 2 sin 45° cos 45° = sin 90°

If A = 45°, verify that :
(i) sin 2A = 2 sin A cos A
(ii) cos 2A = (2 cos²A - 1) = (1 - 2 sin²A)

Mathematics

Verify each of the following : (i) cos 60 cos 30 - sin 60 sin 30 = 0 (ii) cos 60 = (1 - 2 sin230 ) = (2 cos230 - 1) (iii) tan 30 =

Trigonometrical Ratios

Related Questions

Verify each of the following :(i) sin 60° cos 30° - cos 60° sin 30° = sin 30°(ii) 2 sin 30° cos 30° = sin 60°(iii) 2 sin 45° cos 45° = sin 90°

If A = 45°, verify that :(i) sin 2A = 2 sin A cos A(ii) cos 2A = (2 cos2A - 1) = (1 - 2 sin2A)

Verify each of the following :
(i) sin 60° cos 30° - cos 60° sin 30° = sin 30°
(ii) 2 sin 30° cos 30° = sin 60°
(iii) 2 sin 45° cos 45° = sin 90°

If A = 45°, verify that :
(i) sin 2A = 2 sin A cos A
(ii) cos 2A = (2 cos²A - 1) = (1 - 2 sin²A)