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4. Trigonometric Ratios and Identities
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Q48 of 268 Page 4

Evaluate the following

cos38° cos52° – sin38° sin 52°

We know that

cos θ = sin (90° - θ)


=sin (90° - 38°) sin (90° -52°) – sin 38° sin 52°


= sin 52° sin 38°– sin 38° sin 52°


=0


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48

Evaluate the following

48

Evaluate the following

48

Evaluate the following

sec41° sin49° + cos49° cosec 41°

1

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

Questions · 268
4. Trigonometric Ratios and Identities
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