sin(π−theta)÷cos(3π/2−theta)+tan(−theta)÷cot(π/2+theta)+sec(π−theta)÷cosec(π/2−theta)=1
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Answer:
Check if
cos(2π−θ).sin(π+θ).tan(2π−θ)
cot(
2
π
+θ).sin(−θ).(cotπ−θ)
=−cscθ
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cos(2π−θ).sin(π+θ).tan(2π−θ)
cot(
2
π
+θ)).sin(−θ).(cotπ−θ)
=−cosecθ
(cosθ)(−sinθ)(−tanθ)
(−tanθ)(−sinθ)(−cotθ)
=−cosecθ
cosθ
cotθ
=cosecθ
cosθ
1
×
sinθ
cosθ
=
sinθ
1
1=1
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