Question

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Answer 1

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