Question

निम्नलिखित संख्याओं के का मान ज्ञात कीजिए (i) sin 45 cos 45 - sin2 30
(ii) 2 sin2 30 - 3 cos2 45 + tan2 60
(iii) sin 90 + cos 0 + sin 30 + cos 60

Answer 1

(i) sin 45° × cos 45° - sin^2 30°

= 1 /Root2 × 1/root 2 - (1/2)^2

= 1/2 - 1/4

= 4-1/4

= 3/4

(ii) 2 sin^2 30°- 3 cos^2 45°+ tan^2 60°

= 2(1/2)^2 - 3(1/root 2)^2 + (root3) ^2

= 2× 1/4 - 3×1/2 + 3

= 1/2 - 3/2 +3

= 1-3+6/ 2

= 4/2

= 2

(iii) sin 90°+ cos 0°+sin 30° + cos 60°

= 1+1+ 1/2 + 1/2

= 2+ 2/2

= 2+ 1

= 3

That's all you require.

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