Question

Evaluate each of the following:
4(sin430°+cos²60°)-3(cos²45°-sin²90°)-sin²60°

Answer 1

Answer:

Trigonometry,

We have,

4(sin⁴30°+ cos⁴60°)-3(cos²45°-sin²90°)

Have to evaluate.

As we know,

sin30°= ½

cos30°= ½

cos45°= 1/√2

and, sin90°= 1

By substitute the values we get

4{(½)⁴+(½)⁴}-3{(1/√2)²-(1)²}

= 4(1/16 + 1/16) - 3(1/2 - 1)

= 4×⅛+3/2

= ½+3/2

= 4/2

= 2

That's it

Hope it helped (≧∇≦)b