Question

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5. Fill in the blanks.
(i) sin20° = cos
(ii) tan30° x tan
(iii) cos40° = sin °
19 =1 explain them​

Answer 1

Answer:

i) cos70=sin(90-70)

iii)cos40=cos(90-50)=sin50

Answer 2

Given:

We have given some trigonometric functions.

To Find:

We have to fill the blank space?

Step-by-step explanation:

• 1) We have given different trigonometric functions first one is
• sin20° = cos
• We have to write the degree value of cos which makes it equal to the value of sin20°.
• For calculating this we know the formula in the trigonometry which said that

      $Sin\theta=Cos(90^\circ-\theta)\\Cos\theta=Sin(90^\circ-\theta)$

• From comparing the above equation we get the

       $Sin20^\circ=Cos(90^\circ-20^\circ)=Cos70^\circ$

• 2) In the second part we are given with the terms tan30° x tan.
• We have write that we will multiply the  tan30° to make it equal to 1.
• We know some of the values of trigonometry functions which are

       $Tan30^\circ=\frac{1}{\sqrt{3} },Tan60^\circ=\sqrt{3}$

• We will get the result from the above equation.

       $Tan30^\circ\times Tan60^\circ=1$

• 3) We have given different trigonometric functions first one is
•  cos40° = sin °
• We have to write the degree value of sin which makes it equal to the value of cos40°.
• For calculating this we know the formula in the trigonometry which said that

         $Sin\theta=Cos(90^\circ-\theta)\\Cos\theta=Sin(90^\circ-\theta)$

• From comparing the above equation we get the

        $Sin40^\circ=Cos(90^\circ-40^\circ)=Cos50^\circ$

Hence, the answer for blanked place are 70 °,60 °,50 °.