Question

if cos∅=-3/5,π←∅←3π/2
find the value of cosec∅+cot∅/sec∅-tan∅
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Answer 1

❥AnSwER..

Given that cot∅ = 3/4

As cot∅ is positive,∅ would lie in third quadrant

From,cosec²∅ - cot²∅=1

→cosec²∅=1 + cot²∅

→cosec²∅ = 1+(3/4)²

→cosec²∅ = 25/16

→cosec∅ = ±5/4

→cosec∅ = -5/4

Also,

sin∅ = -4/5

We know that,

cos∅ = sin∅cot∅

→cos∅ = (-4/5)(3/4)

→cos∅ = -3/5

Answer 2

Answer:

❥AnSwER..

Given that cot∅ = 3/4

As cot∅ is positive,∅ would lie in third quadrant

From,cosec²∅ - cot²∅=1

→cosec²∅=1 + cot²∅

→cosec²∅ = 1+(3/4)²

→cosec²∅ = 25/16

→cosec∅ = ±5/4

→cosec∅ = -5/4

Also,

sin∅ = -4/5

We know that,

cos∅ = sin∅cot∅

→cos∅ = (-4/5)(3/4)

→cos∅ = -3/5