If sin x = 1/2 and sin y = 2/3, then what is the value of 
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 27/20
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Understanding |
Application |
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sin x = 1/2 and sin y = 2/3 |
So, cos x = √3/2 and cos y = √5/3 |
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Now, [(6cos2x – 4cos4x)/(18cos2y – 27cos4y)] = [(6 × 3/4 – 4 × 9/16)/(18 × 5/9 – 27 × 25/91)] = [(9/2 – 9/4)/(10 – 25/3)] = [9/4]/[5/3] = 27/20 |