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:

Q- sin60⁰ cos30⁰ + sin30⁰ cos60⁰

=> √3/2 × 1/2 + 1/2 × √3/2

=> √3/4 + √3/4

=> 2√3/4

=> √3/2 ans.

Hope it helps.

Thanks.