Trigonometric identities: Performance task
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#1
[tex]\\ \sf\longmapsto (1+cosx)(1-cosx)[/tex]
[tex]\\ \sf\longmapsto 1-cos^2x[/tex]
[tex]\\ \sf\longmapsto sin^2x[/tex]
#2
[tex]\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}[/tex]
[tex]\\ \sf\longmapsto tan^2x-sec^2x[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
Answer:
1) sin²x
2) 1
Step-by-step explanation:
1) (1+cos x)(1-cos x)
=> 1-cos²x
=> sin²x
2) 1/cot²x -1/cos²x
=> tan²x-sec²x
=> 1