Question

If a is an acute angle and tana= 1/√3 then evaluate sin^4 a + cos ^4a

Answer 1

Answer:  7/4

Step-by-step explanation:

we know that tan 30= 1/√3.

therefore the acute angle a is 30.

now sina ie sin 30 is 1/2 so substitute this in sin⁴a.

similarly value of cos 30 is √3/2 so substitute this in cos⁴a.

sin⁴a+cos⁴a =

(1/2)⁴+(√3/2)⁴

1/16 + 27/16

28/16

=7/4

hope my answer was helpful !!!!!!!!!!!!!!!!!!!!!