Question

Trigonometry basic knowledge

Answer 1

Wait! Before you understand Trigonometry remember these important points.

1. All formulas are hulks of your avenger team that's why learn them and not only learn but also practice how they are formed.

• cos²∅ + sin²∅ = 1

• sec²∅ - tan²∅ = 1

• cosec²∅ - cot∅ = 1

• tan∅ = 1/cot∅, tan∅ = sin∅/cos∅

• sec∅ = 1/cos∅ and cosec∅ = 1/sin∅

• cos(90° - ∅) = sin∅

• sec∅(90° - ∅) = cosec∅

• cot∅(90° - ∅) = tan∅

Coming on to your Captain America :-)

2. You have 1 base, 1 perpendicular and 1 hypotenuse. Problem arrises is that base and perpendicular can replace each other.

• Hence let one side me x and another be y.

• If ∅ is angle between hypotenuse and x then x is base while y is perpendicular.

• If ∅ is angle between hypotenuse and y then y is base and x is perpendicular.

Don't forget lovely Spiderman

3. Learn table of several values as given in image. Once done that you are in way of exploring real Trigonometry.

Okay, am not mad that I will only ask to mug up these table. I will tell you the trick.

• Learn sin∅ table first of all. From 1 table you can find values of remaining 5 trignometric ratios.

• Done with sin∅? Then cos∅ is lateral inversion of sin∅.

→ sin90° = cos0°

→ sin30° = cos60°

→ sin45° = cos45°

→ sin60° = cos30°

Woosh, done with cos∅, now sec∅!

• All sec ratios will be inverse of cos∅.

• All cosec ratios will be inverse of sin∅.

• All tan ratios will be sin∅/cos∅ i.e., tan30° = sin30°/cos30°

• Finally, cot∅ = 1/tan∅.

Ending with our cool Thor!

4. Don't messup that if you have to find value of ∅ and you have perpendicular & base then you will let angle between perpendicular and base i.e., 90°.. Wrong

• You can take any angle except 90° i.e., angle between base and perpendicular. Moreover, you can find value of angle even if you take base and perpendicular length but not the angle between them.

This is Marvel story for all Mathematics lover.

Answer 2

Answer: summay

Terms are denoted

P=perpendicular

B=Base

H=hypotenuse

Sin=P/H

Cos=B/H

Tan=P/B

•cosec, sec, cot will be opposite

Sin^2theta +cos^2theta=1(remember as S.C )

•Sec^2theta -tan^2theta=1(S.T)

•cosec ^2theta -cot^2theta =1(C.C)

•Table learn first line other will actomatcial u can do search on you tune 5figures trick of trigo

•what can be converted in what such tan=sin/cos

Note =no trick it should be learn

•Angle of elevation =angle made when we see downside to upward

•Angle of depression =angle made when we see upward to downward