Question

Evaluate
cos? (45+θ)+ cos² (45-θ)/tan(60°+θ)x tan (30-θ)
+ (cot 30° + sin 90 ) × (tan60° - sec 0)​

Answer 1

Answer:

3.

Step-by-step explanation:

cos² (45+θ)+ cos² (45-θ)/tan(60°+θ)x tan (30-θ) + (cot 30° + sin 90 ) × (tan60° - sec 0° )​

= sin ² {90°-(45°+θ)} + cos² (45-θ) / cot { 90°-(60°+θ) } x tan (30-θ)   +

($\sqrt{3}$ + 1 ) × ( $\sqrt{3}$- 1 )​

= sin ²(45-θ) + cos² (45-θ) / cot (30-θ) x tan (30-θ )  + ( 3 - 1 )

= 1 / 1 + 2

= 1 + 2

= 3.