Question

Sin square 30 degree sin square 45 degree sin square 60 degree sin square 90 degree

Answer 1

Solution:'

given by:-

${ \sin}^{2} 30. { \sin }^{2} 45. { \sin }^{2} 60. { \sin }^{2} 90 \\ {( \frac{1}{2}) }^{2} \times {( \frac{1}{ \sqrt{2} } )}^{2} \times {( \frac{ \sqrt{3} }{2}) }^{2} \times {1}^{2} \\ \frac{1}{4} \times \frac{1}{2} \times \frac{3}{4} \times 1 \\ \frac{3}{32} \: ans$

Answer 2

Answer:

Hello.....

sin²30° ×sin²45°×sin²60°×sin²90°

we know that,

sin 30°=1/2

sin 45° =1/√2

sin 60° = √3/2

sin 90° = 1

so, = (1/2)²×(1/√2)² ×(√3/2)² ×(1)²

= 1²/2² ×1 ²/ (√2)² × (√3)²/2² ×1²

= 1/4×1/2×3/4×1

= 3/32 ....

Hope it helps......

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