if tan theta is equal to 1 by root 3 find the value of sin into 90 degree minus theta
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Answer :-
Value of sin (90 - θ)° is 1/√3
Explanation :-
Finding the value of θ
tan θ = 1/√3
Also, tan 30° = 1/√3
From the above 2 equations
tan θ = tan 30°
Comparing on both sides
θ = 30°
Finding the value sin (90 - θ)°
sin (90 - θ)°
= sin (90 - 30)°
[ ∵ θ = 30°]
= sin 60°
= 1/√3
[ ∵ sin 60° = 1/√3]
∴ the value of sin (90 - θ)° is 1/√3
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