Q48 of 268 Page 4

Evaluate the following
sec41° sin49° + cos49° cosec 41°

We know that

sec θ = cosec (90° - θ) and cos θ = sin (90° - θ)

Cosec (90° – 41°) sin 49° + sin (90° – 49°) cosec 41°

= cosec 49° sin 49° + sin 41° cosec 41°

= 1+ 1

= 2

Evaluate the following

cos38° cos52° – sin38° sin 52°

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

Evaluate the followingsec41° sin49° + cos49° cosec 41°