Question

if tan theta equals to 1 find the value of sin theta + cos theta ​

Answer 1

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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