Question

Find the value of sin105° + cos105°​

Answer 1

Answer:

sin(105°)+cos(105°).

sin(105°)=-0.97.

cos(105°)=-0.24.

(-0.97)+(-0.24).

-0.97-0.24. (Because +×-=-).

-1.21. (Because -×-=+ & biggest number is important).

I think this is your answer.

Answer 2

Answer:

√3/√2= 1.21149433

Step-by-step explanation:

sin105°=sin(60°+45°)

sin(A+B)=sinAcosB+cosAsinB

sin60°cos45°+cos60°sin45°

√3/2*1/√2+1/2*1/√2

√3/2√2+1/2√2

√3/2√2 --1

cos105°=cos(60°+45°)

cos(A+B)=cosAcosB+sinAsinB

cos60°cos45°+sin60°sin45°

1/2*1/√2+√3/2*1/√2

1/2√2+√3/2√2

√3/2√2 --2

by adding 1 and 2

2(√3/2√2)

√3/√2