Evaluate sin105°+cos105°
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sin(90-105) + cos105
cos-15+cos105
ANS= 90
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......❤