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4. Trigonometric Ratios and Identities
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Q5 of 268 Page 4

If sin 37o=a, then express cos 53o in terms of a.

Given sin 37° = a

We know that sin θ = cos (90° - θ)


Here, θ = 37°


⇒ cos (90° - 37°) = a


⇒ cos 53° = a


More from this chapter

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3

Fill up the blanks by an angle between 0oand 90o:

(i) sin 70o = cos(…) (ii) sin 35o = cos(…)


(iii) cos 48o=sin (…) (iv) cos 70o = sin (…)


(v) cos 50o = sin (…) (vi) sec 32o=cosec(…)

4

If A+B=90o, then fill up the blanks with suitable trigonometric ratio of complementary angle of A or B.

(i) sin A =…. (ii) cos B =…


(iii) sec A =… (iv) tan B =…


(v) cosec B =… (vi) cot A=…

5

If cos 47o=a, then express sin 43o in terms of a.

5

If sin 52o=a, then express sin 38o in terms of a.

Questions · 268
4. Trigonometric Ratios and Identities
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