Sin2A +Sin2 (90-A) =?????
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sin² A + sin² (90° - A) = 1
Correct question : sin² A + sin² (90° - A) = ?
Given :
The expression sin² A + sin² (90° - A)
To find :
The value of the expression
Formula :
Solution :
Step 1 of 2 :
Write down the given expression
Here the given expression is
sin² A + sin² (90° - A)
Step 2 of 2 :
Find the value of the expression
sin² A + sin² (90° - A)
= sin² A + cos² A [ ∵ sin (90° - θ) = cos θ ]
= 1 [ ∵ sin² θ + cos² θ = 1 ]
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The answer is, sin² A + sin² (90° - A) = 1
What is trigonometry?
Given :
The expression sin² A + sin² (90° - A)
Formula :
sin (90° - θ) = cos θ
sin² θ + cos² θ = 1
Step 1:
Write down the given expression
Here the given expression is
sin² A + sin² (90° - A)
Step 2:
Find the value of the expression
sin² A + sin² (90° - A)
= sin² A + cos² A [ ∵ sin (90° - θ) = cos θ ]
= 1 [ ∵ sin² θ + cos² θ = 1 ]
Hence, sin² A + sin² (90° - A) = 1
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