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Q.

If 24tanθ=7  , then sinθ= 7 25   and cosθ= 24 25  . State whether the given values are true/false.


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a

True

b

False

answer is A.

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Detailed Solution

Given that, 24tanθ=7  .
tanθ= 7 24  
 We know that, tanθ= P B  . Then, P=7,B=24  .
By using the Pythagoras theorem,
H 2 = P 2 + B 2 H 2 = 7 2 + (24) 2 =49+576 =625 H= 625 H=25  
We know that, sinθ= P H  .
sinθ= 7 25  
Similarly, cosθ= B H  .
cosθ= 24 25  
Hence, the values are true.
 
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