8. If 3 sin θ = 4 cos θ then sec θ = ?
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solution
3sinФ - 4cosФ=0
3sinФ=4cosФ
⇒ sinФ/cosФ=4/3
⇒ tanФ=4/3
⇒ tanФ=4/3
then the value of
tanФ=4/3
for 1 + tan²Ф=sec²Ф
⇒ 1 + 4/3=sec²Ф
⇒√ (3+4)/3=secФ
⇒ secФ=√7/3
for cosec²Ф=cot²Ф+1
⇒cosec²Ф=3/4+1
cosecФ=√7/4
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