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Question
Evaluate.
`(sin77^@/cos13^@)^2+(cos77^@/sin13^@)-2cos^2 45^@`
Solution
`(sin77^@/cos13^@)^2+(cos77^@/sin13^@)-2cos^2 45^@`
`=[sin(90^@-13^@)/cos13^@]+[cos(90^@-13^@)/sin13^@]-2cos^2 45^@`
`=[cos13^@/cos13^@]+[sin13^@/sin13^@]-2(1/sqrt2)^2`
= 1 + 1 - 1 = 1
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