Question

If root 3 tan thita equals to 1 and thita is acute then find the value of sin30+cos20

Answer 1

Answer:

I assume the question is sin(3theta)+cos(2theta)

Step-by-step explanation:

√3 tan(theta)=1.

tan(theta)=1/√3.

theta=30.

sin(3×30)+cos(2×30)=sin(90)+cos(60)=1+1/2=3/2.

Answer 2

The value of given equation is 1.5

Step-by-step explanation:

given that :

$\sqrt{3}\tan\theta = 1$

assuming that we have to find

$\sin 3\theta + \cos 2 \theta$

thus ,

$\sqrt{3}\tan\theta = 1 \\\\\tan\theta= \frac{1}{\sqrt{3}}\\\\\tan\theta= \tan 30^\circ\\\\\theta=30^\circ$

now , $\sin 3\theta + \cos 2 \theta$ is

$\sin 3 (30^\circ)+ \cos 2(30^\circ)\\\\\sin 90^\circ+ \cos 60^\circ\\\\1+ 0.5 = 1.5$

hence , The value of given equation is 1.5

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