Question

From the adjacent figure, find the values of i) sin , cos O and tan 0 (0 is theta)​

Answer 1

From right angled triangle OMP,

By Pythagoras theorem, we get

OP

2

=OM

2

+MP

2

MP

2

=OP

2

+OM

2

MP

2

=(15)

2

−(12)

2

MP

2

=225−144

MP

2

=81

MP

2

=9

2

MP=9

(i) sinθ=MP/OP

= 9/15

= 3/5

(ii) cosθ=OM/OP

= 12/15

= 4/5

(iii) tanθ=MP/OP

= 9/12

= 3/4

(iv) cotθ=OM/MP

= 12/9

= 4/3

(v) secθ=OP/OM

= 15/12

= 5/4

(vi) cosecθ=OP/MP

= 15/9

= 5/3

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Answer 2

hello

refer the attachment hope its help u