Question

If SinxSecx = -1 and x belongs to 2nd quadrant, find Sinx and Secx



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Answer 1

sinx sec x = -1

sinx/cosx = -1

because secx = 1/cosx

tanx = -1 = tan135

=> tanx = tan 135

x = tan inverse(tan135)

=> x = 135°

or

x = tan inverse(-1)

x = 135

which belongs to 2nd quadrant

so,

sinx = sin135

= sin(90+45)

sinx = cos45 = 1/√2

secx = sec135

= sec(90+45)

= - cosec45

= - √2

Answer 2

Answer:

Step-by-step explanation: see the attachment