Problem

a) Find the value of m if sec65=cosec(2m15)

Answer

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Answer

m=20

Steps

Step 1 :Given that sec65=cosec(2m15)

Step 2 :Using the identities secx=1cosx and cosecx=1sinx, we get 1cos65=1sin(2m15)

Step 3 :Using the identity sin(2x)=2sinxcosx, we can rewrite the equation as 1cos65=12sin(m7.5)cos(m7.5)

Step 4 :Solving for m, we get m=20

Step 5 :m=20

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