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If the maximum and minimum value of sin ...

If the maximum and minimum value of `sin sinx` is `a` and `b` respectively and the maximum and minimum value of `cos cosx` is `c` and `d` respectively then `a^2 + b^2 + c^2 + d^2`: (A) `1+a^2` (B) `2+a^2` (C) `3+a^2` (D) `4+a^2`

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