Math, asked by sonakshigarg570, 7 months ago

If3 cot a=4, find the value of cosec square a+ 1/cosec square-1

Answers

Answered by kulkarninishant346
0

Answer:

If3 cot a=4, find the value of cosec square a

Step-by-step explanation:

Cot A=4/3

CotA=4/3=base/height

Let base =4x and height be 3x

By Pythagoras theorem,

Hypotenuse =5x

Cosec²A+1=hypotenuse/height +1

Cosec²A+1=5x/3x +1 =(5x+3x)/3x

Cosec²A=8x/3x=8/3

Cosec²-1=(5x-3x) /3x

Cosec²A =2x/3x=2/3

(8/3)/(2/3)

(8*3)/(3*2)

=8/2

=4

4 is your answer

I hope this much will help you

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