Question

if θ is an acute angle and tan θ = 8/15, find the value of sec θ + cosec θ​

Answer 1

45

45please mark my answer as brainliest

Answer 2

Answer:

hii

Step-by-step explanation:

ANSWER

Given, θ is an acute angle and tanθ=8/15.

In figure we have,

tanθ=BC/AB=8/15

So, BC=8 and AB=15

By Pythagoras theorem, we have

AC=

(AB

2

+BC

2

)

= (5 2 +8 2 )

= (25+64)

= 289

⇒AC=17.

Now,

secθ=AC/AB=17/15

cosecθ=AC/BC=17/8

So,

secθ+cosecθ=17/15+17/8

=(136+255)/120

=391/120

=3 13031

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