Question

the value of Sin 25 Cos 65 + Cos 25 Sin 65 is​

Answer 1

Answer:

sin25

∘

cos65

∘

+cos25

∘

sin65

∘

=sin25

∘

sin(90

∘

−65

∘

)+cos25

∘

cos(90

∘

−65

∘

)

=sin25

∘

sin25

∘

+cos25

∘

cos25

∘

=sin

2

25

∘

+cos

2

25

∘

=1

Answer 2

Answer:

1

Solution:

sin25 ∘ cos65 ∘ +cos25 ∘ sin65 ∘

=sin25 ∘sin(90 ∘ −65 ∘ )+cos25 ∘ cos(90 ∘−65 ∘ )

=sin25 ∘sin25 ∘ +cos25 ∘ cos25 ∘

=${{sin}^{2}}$ 25 ∘ + ${{cos}^{2}}$25 ∘

=1