Given displaystyle csc(t)=[-12/7] and [(-pi/2)<t<(pi/2)]. Find sint, cost and tant

Marvin Mccormick 2021-02-06 Answered

Given csc(t)=[127] and [(π2)<t<(π2)] .
Find sin t, cos t and tan t. Give exact answers without decimals.

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Expert Answer

Malena
Answered 2021-02-07 Author has 83 answers

To determine the value of sin t, cos t and tan t.
Given:
csc(t)=[127]and[(π2)<t<(π2)]
csc(t)=[127]
Using trigonometric identity, sint=1csct
sint=1127
sint=712
cos2t=1sin2t
cost=±1(712)2
cost=±149144
cost=±95144
Since, π2tπ2
cost=9512
tant=sintcost
tant=(712)(9512)
tant=795
Thus,
sint=712,
cost=9512,
tant=795

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