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Question
The value of sec 42° sin 48° + cosec 35° cos 55° is ______.
Options
3
0
1
2
MCQ
Fill in the Blanks
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Solution
The value of sec 42° sin 48° + cosec 35° cos 55° is 2.
Explanation:
sin 48° = cos 42° and cos 55° = sin 35°.
So, sec 42° · sin 48°
= `1/(cos 42^circ) · cos 42^circ`
= 1
And cosec 35° · cos 55°
= `1/(sin 35^circ) · sin 35°`
= 1
Sum = 1 + 1
= 2
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