Question

if tan2 45°- cos2 30°=xsin45°cos45° then find x

Answer 1

tan²45° -cos²30°= xsin45°.cos45°
we know,
tan45 = 1
cos30° =√3/2
sin45° = 1/√2
cos45°= 1/√2

now,
1 - (√3/2)² = x(1/√2)(1/√2) = x/2

1 -3/4 = x/2
1/4 = x/2
x = 1/2

Answer 2

Answer: x=1/2

Explanation: we know that,

tan45 = 1

cos30° =√3/2

sin45° = 1/√2

cos45°= 1/√2

now,

1 - (√3/2)² = x(1/√2)(1/√2)

= x/2

1 -3/4 = x/2

1/4 = x/2

x = 1/2

Hope this helps

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