1/cos theta+ sin theta/cos theta = 2+√3
Q. What is value of theta?
Answers
Step-by-step explanation:
identities
\sec(\theta)= \dfrac{1}{\cos(\theta)}sec(θ)=
cos(θ)
1
\sec, left parenthesis, theta, right parenthesis, equals, start fraction, 1, divided by, cosine, left parenthesis, theta, right parenthesis, end fraction
Explain
\csc(\theta)= \dfrac{1}{\sin(\theta)}csc(θ)=
sin(θ)
1
\csc, left parenthesis, theta, right parenthesis, equals, start fraction, 1, divided by, sine, left parenthesis, theta, right parenthesis, end fraction
Explain
\cot(\theta)= \dfrac{1}{\tan(\theta)}cot(θ)=
tan(θ)
1
cotangent, left parenthesis, theta, right parenthesis, equals, start fraction, 1, divided by, tangent, left parenthesis, theta, right parenthesis, end fraction
Explain
\tan(\theta)= \dfrac{\sin(\theta)}{\cos(\theta)}tan(θ)=
cos(θ)
sin(θ)
tangent, left parenthesis, theta, right parenthesis, equals, start fraction, sine, left parenthesis, theta, right parenthesis, divided by, cosine, left parenthesis, theta, right parenthesis, end fraction
Explain
\cot(\theta)= \dfrac{\cos(\theta)}{\sin(\theta)}cot(θ)=
sin(θ)
cos(θ)
Answer:
1×cosθ+
3
sinθ=2
⇒(
2
1
cosθ+
2
3
sinθ)=1
⇒sin30
0
cosθ+cos30
0
sinθ=1
⇒sin(θ+30
0
)=sin90
0
⇒θ+30
0
=90
0
orθ=60
0