Answer:
1) option c
2) option d
3) option a
4) option a
5) option c
Step-by-step explanation:
1. Given that in ΔRST, ∠R=63°, ∠T=90° and so ∠S=27°
Also, cosec=hyotenuse/opposite side
Given RS=23 and ST=10.4
So, cosec27=RS/RT=23/RT
sec=hypotenuse/adjacent side
sec27=RS/ST=23/10.4
And cot=adjacent/opposite side
So, cot63=RT/ST=RT/10.4
2. formula:- sinθ=opposite side/hypotenuse
cosecθ=hypotenuse/opposite side
∴ sinθ *cosecθ = (opposite side/hypotenuse) * (hypotenuse/opposite side) = 1
3. Formula :- tan(360-θ) = -tanθ
∴ tan(300) = tan(360-60) = -tan30°
tan30° = √3
∴tan300° = -√3
4.
5. sinθ= opposite side/hypotenuse
cosecθ = hypotenuse/opposite side
∴ cosecθ = 1/sinθ
Given sinθ = 0.3090
∴ cosecθ = 1/0.3090 = 3.2362
