Question

If sin∅ = 4/5 Find 4 tan ∅ - 5 cos ∅ / sec ∅ + 4 cot ∅

Answer 1

EXPLANATION

• GIVEN

Sinø = 4/5

TO FIND.

4tanø - 5cosø / secø + 4cotø

sinø = 4/5 = p/h

h^2 = p^2 + b^2

b^2 = h^2 - p^2

b^2 = (5)^2 - (4)^2

b^2 = 25 - 16

b^2 = 9

b = 3

tanø = 4/3

cosø = 3/5

secø = 5/3

cotø = 3/4

4 X 4/3 - 5 X 3/5 / 5/3 + 4 X 3/4

80 - 45 / 15/14/3

35 / 15 X 3/14

1/2

Hence,

value = 1/2

Answer 2

Answer :-

Sin theta =4/5

Therefore, In right angle triangle

COS theta= 3/5

Tan theta= 4/3

Now, using these in eq. we get,

(4*4/3) - (5*3/5)/(5/3)+4*3/4

=16/3-(3*3)/5+3

=(80-27+45)/15

=98/15 ans..

Hope this will help you.