Answer-If θ is an acute angle and sin θ + cosec θ = 2, then the value of sin⁵ θ + c...

Question

Answer-If &theta; is an acute angle and sin &theta; + cosec &theta; = 2, then the value of sin⁵ &theta; + c...

Accepted Answer

Given   sin  csecc  2,  let x  sin , then cosec  1x  ATQ-  x1x 2        x1  2x  x-2x1 0  x-12  0  x-1 0  x 1.  Thus, sin   1, which means   90.  Now,  Sin 5   151  Similarly, Cosec5   1  Therefore,  Sin 5   Cosec5  112  So, the value is 2.

If θ is an acute angle and sin θ + cosec θ = 2, then the value of sin⁵ θ + cosec⁵ θ is:

Detailed Solution

More Previous year papers Questions

Relevant for Exams:

Hey! Ask a query

Please Register/Login