Question

Evaluate the following​

Answer 1

_____Answer:—

(i) cos²(π/6)+cos²(π/4)+cos²(π/3)

• cos π/6 = √3/2
• cos π/4 =1/√2
• cos π/3 = 1/2

→ (√3/2)² + (1/√2)²+(1/2)²

→ 3/4 + 1/2 +1/4

→ 1+1/2

→ 3/2

(ii) sin²(π/6)+cos²(π/6)+tan²(π/4)

• sin π/6 = 1/2
• cos π/6 = √3/2
• tan π/4 = 1

→ (1/2)²+(√3/2)²+(1)²

→ 1/4+3/4+1

→ 1+1

2