Question

(ii) sin 25° cos 65° + cos 25° sin 65°​

Answer 1

sin ( 90 - 65 ) cos 65 + cos( 90 - 65) sin (65)

= cos65 cos 65 + sin65 sin 65

= cos²65 + sin²65

= 1 Ans.

Answer 2

Step-by-step explanation:

we know the compound angle formula

sin(A + B) = sin A cosB + cosA sinB

so from this

sin 25° cos 65° + cos 25° sin 65°

= sin ( 25° + 65° )

= sin ( 90°)

= 1