<u>Answer and explanation</u>
(1+sinθ)(1-sinθ)=cos²θ
We are to prove that the left hand side is equal to the right hand side.
(1+sinθ)(1-sinθ) = 1(1-sinθ) + sinθ(1-sinθ)
= 1 - sinθ + sinθ - sin²θ
= 1 - sin²θ
From the trigonometric identity sin²θ + cos²θ = 1,
1 - sin²θ = cos²θ
Answer:
Step-by-step explanation:
40.2=3(x+2)
134=10x+20
134-20=10x+20-20
114=10x
11.4=x
Question:
Prove that:
Answer:
Proved
Step-by-step explanation:
Given
Required
Prove
Subtract tan(10) from both sides
Factorize the right hand size
Rewrite as:
Divide both sides by
In trigonometry:
So:
can be expressed as:
gives
In trigonometry:
So:
Because RHS = LHS
Then:
has been proven
Answer:
29 degrees
Step-by-step explanation:
Both angles are the same.
Please further explain your question...