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Q.1 If θ is the positive …

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Q.1 If θ is the positive acute angle , then solve the equation
         4 cos2 θ - 4 sinθ = 1 .

Q.2 Find the value of sin 2θ , when tan θ = 247 and θ lies in 3rd quadrant.

Q.3 If sinθ =  1213 , then find the quadrants in which θ can lie. Also , find the values of the remaining trigonometric ratios of θ .

Q.4 A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope tight and describes 88m, when it has traced out 720 at the centre. Then, find the length of rope.

  • 1 answers

Rashmi Bajpayee 6 years, 10 months ago

Q.2     {tex}\sin 2\theta = {{2\tan \theta } \over {1 + {{\tan }^2}\theta }}{/tex}

Since {tex}\theta {/tex} is in third quadrant, therefore value of tangent is positive.

{tex}\Rightarrow{/tex}     {tex}\sin 2\theta = {{2 \times {{24} \over 7}} \over {1 + {{\left( {{{24} \over 7}} \right)}^2}}}{/tex}

{tex}\Rightarrow{/tex}     {tex}\sin 2\theta = {{{{48} \over 7}} \over {1 + {{576} \over {49}}}}{/tex}

{tex}\Rightarrow{/tex}     {tex}\sin 2\theta = {{48} \over 7} \times {{49} \over {625}} = {{336} \over {625}}{/tex}

http://mycbseguide.com/examin8/

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