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Simplify the following trig expressions to an expression involving at most one trig function

Simplify The Following Trig Expressions To An Expression Involving At Most One Trig Function class=

Sagot :

Answer : 1

Given : (cot x * secx) /(cosec x)

we know that:

• cot x = adjacent /opposite

,

• secx = hypotaneus / adjacent

,

• cscx = hypotaneus / opposite

Therefore , our expression can be re-rewritten as follows :

(cot x * secx) /(cosec x)

→{adj /opp * hyp /adj }/( hyp/opp)... [note that adj cancels each other ]

→(hyp /opp)/ hyp/opp

→(hyp /opp) * (opp /hyp) .......( each variable cancels each other)

→1*1

= 1

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