Question

4/5tan square 60degree- 2/sin square 60degree -3/4tan square 30degree

Answer 1

Answer:

- 31/ 60

Step-by-step explanation:

now we know that tan 60 = √3

so tan square 60 = (√3) ^2

tan square 60 = 3 ...........(1)

tan 30 = 1/√3

so tan square 30 = ( 1/√3 )^2

tan square 30 = 1/ 3 ................(2)

sin 60 = √3 /2

so sin square 60 = (√3/2 ) ^2

sin square 60 = 3/4 ...........(3)

now put all .....(1) ,.....(2) ,......(3) in question

4/5 tan square 60 - 2/sin square 60 - 3/4 tan square 30

= 4/5 * 3 - 2*4/ 3 - 3/4 * 1/3

= 12/ 5 - 8/3 - 1/4

= 12 * 12 - 8* 20 - 1*15 / 60 ( LCM of 3,4,5 is 60 )

= 144 - 160 - 15 / 60

= - 16 - 15 / 60

= - 31 / 60