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
(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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