Question

Let o be an acute angle in a right triangle explain why sin(0)=cos(90 degrees-0)

Answer 1

Answer:

because we can that sinA is equal to cos(90-A).

so sin0 is equal to cos90 ....hope u like it

Answer 2

Given :  θ be an acute angle in a right triangle

To find : explain why sin(θ)=cos(90°-θ)

Solution:

in a Right angle triangle

we know  

Sin θ  =  Perpendicular /  Hypotenuse

Cosθ = Base / Hypotenuse

Now for other acute angle   let say α

Base & perpendicular get change

Hence

Cos  α  = Sin θ

now in  a triangle sum of all angles = 180°

one angle in right angle = 90°

=> α + θ  + 90° = 180°

=> α = 90° - θ

=> Cos(90° - θ) = Sin θ

Hence Sin θ  = Cos(90° - θ)

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