Q. 25.0( 1 Vote )

# Find the value of θ, if

(i) sinθ= 0.7009

(ii) cos θ = 0.9664

(iii) tan θ = 0.3679

(iv) cotθ = 0.2334

(v) tanθ = 63.6567

Answer :

(i) From the sine table, we find 0.7009 is corresponding to sin 44° 30’.

⇒ sin 44° 30’ = 0.7009

∴ θ = 44° 30’

(ii) From the cosine table, we find 0.9664 is corresponding to cos 14° 54’.

⇒ cos 14° 54’ = 0.9664

∴ θ = 14° 54’

(iii) From the tangent table, we find 0.3679 is corresponding to tan 20° 12’.

⇒ tan 20° 12’ = 0.3679

∴ θ = 20° 12’

(iv) From the cotangent table, we find 0.2334 is corresponding to cot 76° 30’.

⇒ cot 76° 30’ = 0.2334

∴ θ = 76° 30’

(v) From the tangent table, we find 63.6567 is corresponding to tan 89° 6’.

⇒ tan 89° 6’ = 63.6567

∴ θ = 89° 6’

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