If tan theta =1, then find the values of sin theta + cos theta/ sec theta + cosec theta
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Answer:1/2
Let thetha be x
now,
tan x = 1 (given )
or , sin x/cos x = 1
or , sin x = cos x
so, x = 45 Degree
=sin x + cos x / sex x + cosec x
=(sin x + cos x ) / (1/cos x + 1/ sin x )
=( ( sin x + cos x ) / (sin x + cos x ) ) .sin x .cos x
=sin x .cos x
= sin 45 .cos 45 ( x = 45 )
=1/2
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