Question

if sin theta = 4/5 verify that 1+cot²theta=cosec²theta​

Answer 1

Answer:

hey here is your solution

pls mark it as brainliest pls

so here we go

Step-by-step explanation:

now here sin theta=4/5

so cosec theta=5/4 because sin theta=1/cosec theta

so now apply sin square+cos square=1

substitute value of sin in it

you get cos theta=3/5 or -3/5

here negative value would be absurd because

sin theta lies in quadrant 1 so rest all trigonometric ratios would be positive

thus cos=3/5

so sec=5/3 because sec=1/cos

now by using 1+tan square=sec square

you get tan=4/3

thus cot=3/4

because cot=1/tan

now substitute values of cot and cosec in it

you get 1+(9/16)=25/16

ie (16+9)/16=25/16

ie 25/16=25/16

so thus lhs=rhs

hence verified

hope it helped u a lot

Answer 2

Answer:

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