If 0 is an acute angle and sin 0 = cos e, find the value of
2 tan2 O + sin2 0 - 1.
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1
Answer:
Step-by-step explanation:
Given that sinθ=cosθ
⟹
cosθ
sinθ
=1
⟹tanθ=1
⟹θ=45
0
Therefore, 2tan
2
θ+sin
2
θ−1=2tan
2
45+sin
2
45−1
=2(1)
2
+(
2
1
)
2
−1
=2+
2
1
−1=
2
1
+1=
2
3
hope it helps
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