Question

Evaluate sin105°+cos105°

Answer 1

sin(90-105) + cos105

cos-15+cos105

ANS= 90

Answer 2

Here is your question.... Dear......

Sin105° = Sin(60°+45°)......

Sin105°= Sin60cos45 + Cos60sin45...

Sin105°= √3/2×1/√2 + 1/2×1/√2...

Sin105° = √3/2√2 + 1/2√2

Which is (√3+1)/2√2....._(1)

Now...Cos105°...

Cos105°= Cos(60°+45°)

Cos105°= Cos60cos45° - Sin60sin45°

Cos105° = 1/2×1/√2 - √3/2 × 1/√2

Cos105° = 1/2√2 - √3/2√2...

Cos105° = (1-√3)/2√2...(2)...

Sin105°+ Cos105°..

= eq(1) and eq(2)...

And the answer is...1/√2....

Hope it helps uh a lot......❤