Question

find the value of both questions .
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Answer 1

Step-by-step explanation:

√3 sinx=cosx

3sin^2x=cos^2x

adding sin^2x on both sides

4sin^2x=cos^2x+sin^2x

4sin^2x=1

sin^2x=1/4

sinx=1/2

x=30

3cos^2(30)+2cos(30)/3cos(30)+2

=3(√3/2)^2+2(√3/2) /3(√3/2) +2

=9/4+√3 /3√3/2 +2

=9+4√3/6√3+8

=(9+4√3)/(8+6√3)

¡)24tanx=7

tanx=7/24

sinx/cosx =7/24

equating

sinx=7

cosx=24

secx +cosecx=1/sinx +1/cosx=1/7 +1/24=31/168