Trigonometric functions,
equations and
inequalities
Part 2
Instructor:Nigar Aghayeva
Special case
Answer:
Special case
Trigonometric
Inequalities.
𝒔𝒊𝒏 < 𝒂, 𝒔𝒊𝒏 ≤ 𝒂
𝒔𝒊𝒏 > 𝒂, 𝒔𝒊𝒏 ≥ 𝒂
1)
sinx > −
2) 𝑠𝑖𝑛𝑥 ≥ −1
3)sinx ≤
3
2
3
2
Trigonometric Inequalities.
𝐜𝐨𝐬𝐱 < 𝒂, 𝒄𝒐𝒔𝒙 ≤ 𝒂
𝒄𝒐𝒔𝒙 > 𝒂, 𝒄𝒐𝒔𝒙 ≥ 𝒂
1)
cosx > −
2)
cosx ≤
3)
cosx < −
3
2
3
2
2
2
Trigonometric inequalities
𝑡𝑎𝑛𝑥 < 𝑎, 𝑡𝑎𝑛𝑥 > 𝑎, 𝑐𝑜𝑡𝑥 ≥ 𝑎, 𝑐𝑜𝑡𝑥 ≤ 𝑎
1)
𝑡𝑎𝑛𝑥 < 3
2)
𝑡𝑎𝑛𝑥 ≥ − 3
3)
𝑡𝑎𝑛𝑥 < −
4)
𝑡𝑎𝑛𝑥 >
3
3
3
3
Questions?