Math, asked by poudelprajwal368, 19 days ago

cosec (90°-O). sin (90° - 0) = 1​

Answers

Answered by rajv08844
0

Step-by-step explanation:

[cosec(90

−θ)−sin(90

−θ)][cosecθ−sinθ][tanθ+cotθ]

=(secθ−cosθ)(cosecθ−sinθ)

(

cosθ

sinθ

+

sinθ

cosθ

)

∵cosec(90

−θ)=secθ

∵sin(90

−θ)=cosθ

=(

cosθ

1

−cosθ)(

sinθ

1

−sinθ)(

sinθcosθ

sin

2

θ+cos

2

θ

)

=(

cosθ

1−cos

2

θ

)(

sinθ

1−sin

2

θ

)(

sinθcosθ

1

)

=(

cosθ

sin

2

θ

)(

sinθ

cos

2

θ

)(

sinθcosθ

1

)=1

here is ur answer

Answered by sabyasachibehera1234
0

Step-by-step explanation:

cosec(90°-O). sin(90°-O)=1

{1/sin(90°-O)}.sin(90°-O)=1

1.{sin(90°-O)/sin(90°-O)}=1

1=1

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