If cos² theta = 0 then simplify.HELP.
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Answers
Answer:
1
Step-by-step explanation:
If cos² theta = 0 then simplify
0 Cosθ Sinθ
Cosθ Sinθ 0
Sinθ 0 Cosθ
Squraing the matrix
0 + Cos²θ + Sin²θ 0 + CosθSinθ + 0 0 + 0 + SinθCosθ
0 + SinθCosθ + 0 Cos²θ + Sin²θ + 0 CosθSinθ + 0 + 0
0 + 0 + CosθSinθ SinθCosθ + 0 + 0 Sin²θ + 0 + Cos²θ
1 SinθCosθ SinθCosθ
SinθCosθ 1 SinθCosθ
SinθCosθ SinθCosθ 1
1st
= 1 * 1 SinθCosθ = 1 - Sin²θCos²θ = 1- 0 = 1
SinθCosθ 1
2nd
= - SinθCosθ * SinθCosθ SinθCosθ = - SinθCosθ (SinθCosθ - 0)
SinθCosθ 1
= - Sin²θCos²θ = 0
3rd
SinθCosθ SinθCosθ SinθCosθ = SinθCosθ (0 - SinθCosθ)
1 SinθCosθ
= - Sin²θCos²θ = 0
1 - 0 + 1 = 1