Simplify sin2 θ(1 – csc2 θ). Need help!?
24. Simplify sin θ sec θ.
A. csc θ
B. cos θ
C. cot θ
D. tan θ
25. Simplify sin2 θ(1 – csc2 θ).
A. 1
B. sin4 θ
C. 1 – sin2 θ
D. sin2 θ – 1
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24. Simplify sin θ sec θ.
A. csc θ
B. cos θ
C. cot θ
D. tan θ
25. Simplify sin2 θ(1 – csc2 θ).
A. 1
B. sin4 θ
C. 1 – sin2 θ
D. sin2 θ – 1
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Verified answer
24. D
25. sin^2 θ (1 - csc^2 θ) = sin^2 θ - 1
D
24.D
25. D
sin^2 x(1 – csc^2 x)
sin^2 x(1 – [1/sin^2 x])
sin^x - 1 ie C)
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sin = opp/hyp
sec = 1/cos = hyp/adj
sin*sec = (opp/hyp)*(hyp/adj)
= opp/adj = tan ie D)