evaluate sec 42/cosec 48 ➕ 3 tan 50/cot 40 - 2 cos 43/sin 47
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sec 42/cosec 48 ➕ 3 tan 50/cot 40 - 2 cos 43/sin 47
= sec (90-48)/cosec48+ 3tan50/cot(90-50) -2cos43/sin(90-43)
=cosec48/cosec48+3tan50/tan50-2cos43/cos43
=1+3-2 (The trigonometrical ratios get cancelled)
=2 (Ans.)
Formula:
sec(90-theta)=cosec theta
tan(90-theta)= cot theta
= sec (90-48)/cosec48+ 3tan50/cot(90-50) -2cos43/sin(90-43)
=cosec48/cosec48+3tan50/tan50-2cos43/cos43
=1+3-2 (The trigonometrical ratios get cancelled)
=2 (Ans.)
Formula:
sec(90-theta)=cosec theta
tan(90-theta)= cot theta
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