Question

If sin 0 = 4/5
4/5 and cos e = = -3/5 then​

Answer 1

Answer:

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Step-by-step explanation:

Answer

In quadrant IV, cosθ>0,sinθ<0,cosϕ>0 and sinϕ<0.

Now, cos θ=

5

4

⇒sin

2

θ=(1−cos

2

θ)=(1−

25

16

=

25

9

⇒sinθ=−

25

9

=

5

−3

.And, cos ϕ=

13

12

⇒sin

2

ϕ=(1−cos

2

ϕ)=(1−

169

144

=

169

25

⇒sinϕ=−

169

25

=

13

−5

.

∴ cos(θ+ϕ)=cosθcosϕ−sinθsinϕ=(

5

4

×

13

12

)−(

5

−3

×

13

−5

)=(

65

48

−

65

15

)=

65

33