find the value of sin square theta+cos square theta+1
Answers
Answer:
First, let's recall the Pythagorean identity and the two other forms of it. Cosine squared plus sine squared equals 1 can also be written cosine squared theta equals 1 minus sine squared theta or sine squared theta equals 1 minus cosine squared theta.
sin² θ + cos² θ + 1 = 2
Given :
The expression sin² θ + cos² θ + 1
To find :
The value of the expression
Formula :
sin² θ + cos² θ = 1
Solution :
Step 1 of 2 :
Write down the given expression
The given expression is sin² θ + cos² θ + 1
Step 2 of 2 :
Find the value of the expression
We are aware of the Trigonometric identity that
sin² θ + cos² θ = 1
Thus we get
The given expression
= sin² θ + cos² θ + 1
= 1 + 1
= 2
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