Question

Evaluate the following:

sin60⁰ cos30⁰ + sin30⁰ cos60⁰​

Answer 1

Putting the values of all the trigonometric ratio of 0⁰,30⁰,45⁰, 60⁰ and 90⁰

$\frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} + \frac{1}{2} \times \frac{1}{2}$

$\frac{3}{4} + \frac{1}{4}$

Now taking L.C.M

L.C.M is 4

$\frac{3 + 1}{4}$

$\frac{4}{4}$

$1$

Additional Information:

The values of all the trigonometric ratio of 0⁰,30⁰,45⁰, 60⁰ and 90⁰are in the table given above in attachment which is used in solving these questions.

Answer 2

Answer:

Putting the values of all the trigonometric ratio of 0⁰,30⁰,45⁰, 60⁰ and 90⁰

\frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} + \frac{1}{2} \times \frac{1}{2}

2

3

×

2

3

+

2

1

×

2

1

\frac{3}{4} + \frac{1}{4}

4

3

+

4

1

Now taking L.C.M

L.C.M is 4

\frac{3 + 1}{4}

4

3+1

\frac{4}{4}

4

4

11

Additional Information:

The values of all the trigonometric ratio of 0⁰,30⁰,45⁰, 60⁰ and 90⁰are in the table given above in attachment which is used in solving these questions