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Trigonometric ratios are defined for a right angled triangle. Cosecant, Secant and cotangent are the reciprocal of the Sine, cosine and tangent. The definitions of the trigonometric functions are given below.

Even – Odd functions

Identities:

sin² θ + cos² θ = 1

sec² θ - tan² θ = 1

csc² θ - cot² θ = 1

Example1: tan θ = ^{12}⁄_{5} Find cos θ?

Sec θ = ^{13}⁄_{5}

Cos θ = ^{1}⁄_{secθ} =^{ 5}⁄_{13}

**Example 2:** Find p and q listed in the following figure. Round it to the

nearest whole number.

**Answer :**

Tan 30° = p/60

1/√3 = p/60

P = 60/√3 = 34.64

P = 35

Tan 60° = p/q = 34.64/q

√3 = 35/q

q= 35/√3 = 20.21

q = 20