a If tano = where a, b are positive real numbers, then the value of sine (sec 0)’+ cos O (cosec O) is (a+b) (ab)/2 (A) (a+b)" (a +bº) (ab)/2 (a+b)' (a* +b^) (B) (a+b)* (a* +b^) (ab)/2 (C) (D) (ab)/2
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Answer:
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Step-by-step explanation:
Given,
cosθ
sinθ
=
b
a
Thus, tanθ=
b
a
Also,sec
2
θ=1+tan
2
θ
⇒secθ=
1+tan
2
θ
⇒secθ=
1+
b
2
a
2
⇒secθ=
b
2
b
2
+a
2
⇒secθ=
b
a
2
+b
2
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