Q2 of 268 Page 5

If sin θ= p and cos θ = q, what is the relation between p and q ?

We know that,

cos² θ + sin² θ = 1 …(i)

Given : sin θ = p and cos θ = q

Putting the values of sin θ and cos θ in eq. (i), we get

(q)² + (p)² =1

⇒ p² + q² =1

Evaluate the following

sec41° sin49° + cos49° cosec 41°

Fill in the blanks

(i) sin² θ cosec² θ = ……..

(ii) 1 + tan² θ = ……

(iii) Reciprocal sin θ. cot θ = ……

(iv) 1–.......= cos²θ

(v)

(vi)

(vii) cos θ is reciprocal of .........

(viii) Reciprocal of sin θ is.........

(ix) Value of sin θ in terms of cos θ is

(x) Value of cos θ in terms of sin θ is

If cos A = x, express sin A in terms of x

If x cos θ = 1 and y sin θ = 1 find the value of tan θ.