To simplify this expression, we will first use the trigonometric identity:
sin^2(x) = 1 - cos^2(x)
Therefore, sin^2(38) = 1 - cos^2(38)And sin^2(128) = 1 - cos^2(128)
Now, we can rewrite the expression as:
30/(1 - cos^2(38)) + (1 - cos^2(128))
Multiplying both terms by (1 + cos^2(38)) and (1 + cos^2(128)), we simplify it further:
30 + 30cos^2(38) + (1 + cos^2(128)) - cos^2(128)
Finally, combining like terms, we get:
31 + 30cos^2(38) - cos^2(128)
Therefore, the simplified expression is 31 + 30cos^2(38) - cos^2(128).
To simplify this expression, we will first use the trigonometric identity:
sin^2(x) = 1 - cos^2(x)
Therefore, sin^2(38) = 1 - cos^2(38)
And sin^2(128) = 1 - cos^2(128)
Now, we can rewrite the expression as:
30/(1 - cos^2(38)) + (1 - cos^2(128))
Multiplying both terms by (1 + cos^2(38)) and (1 + cos^2(128)), we simplify it further:
30 + 30cos^2(38) + (1 + cos^2(128)) - cos^2(128)
Finally, combining like terms, we get:
31 + 30cos^2(38) - cos^2(128)
Therefore, the simplified expression is 31 + 30cos^2(38) - cos^2(128).