Question

sin{cos^-1(-3/5)+cos^-1(-5/12)}​

Answer 1

Step-by-step explanation:

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540 cos is your answer

hope it helps you

Answer 2

Answer:

16/ 65 is the answer

Explanation:

Let

sin

−

1

(

−

3

5

)

=

α

and

tan

−

1

(

5

12

)

=

β

then

sin

α

=

−

3

5

and

tan

β

=

5

12

and

cos

α

=

√

1

−

(

−

3

5

)

2

=

√

1

−

9

25

=

√

16

25

=

4

5

cos

β

=

1

√

1

+

tan

2

β

=

1

√

1

+

(

5

12

)

2

=

1

√

1

+

25

144

=

1

√

169

144

=

1

13

12

=

12

13

and

sin

β

=

tan

β

×

cos

β

=

5

12

×

1

13

=

5

13

Hene,

sin

(

sin

−

1

(

−

3

5

)

+

tan

−

1

(

5

12

)

)

=

sin

(

α

+

β

)

=

sin

α

cos

β

+

cos

α

sin

β

=

(

−

3

5

)

×

12

13

+

4

5

×

5

13

=

−

36

65

+

20

65

=

−

16

65