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Kitti Bhattacharya

· started a discussion

· 1 Months ago

Doubt (Question: 186261.0 )

Could you please explain the solution. How is sec x= cosec y = sec (90-y).
Please elaborate.

Question:
If 0 < x < \(\cfrac{\pi}{2}\) and sec x = cosec y, the value of sin (x + y) is –
Options:
A) 0
B) 1
C) \(\cfrac{1}{2}\)
D) \(\cfrac{1}{\sqrt{3}}\)
Solution:
Ans: (b)


Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Its Trigonometric formula:
Sec(90-theta)= Cosect(theta)
and Secx=Cosecy is given in the question.
so, Secx=Cosecy=Sec(90-y)

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