Question

find the value of cos^2 90°+sin30°+tan45°​

Answer 1

Answer:

3/2

Step-by-step explanation:

cos90=0

0 square 0

sin30=1/2

tan45=1

0 + 1/2 + 1

3/2

Answer 2

$\sf\huge {\underline{\underline{{Solution}}}}$

cos90°= 0

sin30°=1/2

tan45°= 1

Now, put the values into Question

=> cos²90°+ sin30°+ tan45°

=> 0 + 1/2+1

=> 1/2+1= 1+2/2

= 3/2

More trigonometric values :

$\Large{ \begin{tabular}{|c|c|c|c|c|c|} \cline{1-6} \theta & \sf 0^{\circ} & \sf 30^{\circ} & \sf 45^{\circ} & \sf 60^{\circ} & \sf 90^{\circ} \\ \cline{1-6} \sin & 0 & \dfrac{1}{2 } & \dfrac{1}{ \sqrt{2} } & \dfrac{ \sqrt{3}}{2} & 1 \\ \cline{1-6} \cos & 1 & \dfrac{ \sqrt{ 3 }}{2} } & \dfrac{1}{ \sqrt{2} } & \dfrac{ 1 }{ 2 } & 0 \\ \cline{1-6} \tan & 0 & \dfrac{1}{ \sqrt{3} } & 1 & \sqrt{3} & \infty \\ \cline{1-6} \cot & \infty & \sqrt{3} & 1 & \dfrac{1}{ \sqrt{3} } &0 \\ \cline{1 - 6} \sec & 1 & \dfrac{2}{ \sqrt{3}} & \sqrt{2} & 2 & \infty \\ \cline{1-6} \csc & \infty & 2 & \sqrt{2 } & \dfrac{ 2 }{ \sqrt{ 3 } } & 1 \\ \cline{1 - 6}\end{tabular}}$

Note : Check from web as not visible on this app

More trigonometric identities

• sin²Θ+cos²Θ=1
• sec²Θ=1+tan²Θ
• cosec²Θ=1+cot²Θ

Reciprocal identities

• Sinθ= 1/cosecθ
• cosθ=1/secθ
• tanθ=1/cotθ

Angle formulas

• sin(90°−θ) = cos θ
• cos(90°−θ) = sin θ
• tan(90°−θ) = cot θ
• cot(90°−θ) = tan θ
• sec(90°−θ) = cosec θ
• cosec(90°−θ) = sec θ