Math, asked by yash2439, 11 months ago

Arizona attempt z which croons word bro fro pq Quentin gulp pronto unfortunately S qishan​

Attachments:

Answers

Answered by Anonymous
14

Given condition

π/2 <A<π

so A liye in 2nd quadrant

in second quadrant sin@ and cosec@ is positive

and

tan@,cos@,sec@ ,cot@ is negative.

For B

3π/2 <B<2π

so B liye in 4th quadrant

in 4th quadrant

cos@ and sec@ is positive and rest

sin@,cosec@,tan@,cot@ is negative

Now by keeping Above explanation

Given

2sinA = 1

sinA = 1/2

A = Sin^-1sin(π/2 + π/6 )

A = 5π/12

Now

sqrt2 *cosB = 1

cosB = 1/sqrt2

B = cos^-1cos(3π/2 + π/4)

B = 7π/4

Now

(tanA + tanB )/(cosA + cosB)

(tan5π/12 + tan7π/4 )/(cos5π/12 + cos7π/12)

= (- 1/sqrt 3 - 1)/(- sqrt3/2 + 1/sqrt2)

= 2( 1+ sqrt3)/(2 - sqrt3)sqrt3

Similar questions