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We know that ,
- Cos(90 + Φ) = -Sin(Φ)
- Tan((360 × n) - Φ) = Tan(Φ)
- Sec(360 + Φ) = Sec(Φ)
- Sec(90 + Φ) = -Cosec(Φ)
- Cot((360 × n) - Φ) = -Cot(Φ)
Thus ,
i)
➡Cos(180)
➡Cos(90 + 90)
➡-Sin(90)
➡-1
ii)
➡Tan(690)
➡Tan(360 × 2 - 30)
➡-Tan(30)
➡-1/√3
iii)
➡Sec(360 + 135)
➡Sec(135)
➡Sec(90 + 45)
➡-Cosec(45)
➡-√2
iv)
➡Cot(11π/3)
➡Cot(660)
➡Cot(360 × 2 - 60)
➡-Cot(60)
➡-1/√3
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